The vertex of a quadratic equation or parabola is the highest or lowest point of that equation. We'll analyze it thoroughly here. To shift the vertex of a parabola from (0, 0) to (h, k), each x in the equation becomes (x − h) and each y becomes (y − k). A quadratic function is a function f whose value f(x) at x is given by a quadratic polynomial. I can graph quadratic functions in standard form (using properties of quadratics). How do you convert vertex form to factored form #y = 3(x+7)^2 - 2#? Algebra Quadratic Equations and Functions Vertex Form of a Quadratic Equation 1 Answer. Lars Brink. The y - intercept is the point where the graph crosses the y - axis. Everything You (N)ever Wanted to Know About Parabolas Posted March 7, 2012 by Lensyl Urbano. To do this, plug in the relevant values to find x, then substitute the values for a and b to get the x-value. Introduction to Vertex Form of Quadratic Relations. The axis of symmetry of a parabola passes through the vertex. Writing Equations of Quadratic. com and uncover complex, factor and a great deal of additional algebra topics. Students develop an understanding of maximum/minimum, axis of symmetry, zeros, and vertex of quadratic functions in factored form. Notice that vertex form looks very similar to point-slope form for linear functions. When you need help on subtracting rational expressions or mathematics courses, Solve-variable. The graph is symmetric about a line called the axis of symmetry. Convert Quadratic Equation from Standard to Vertex Form Convert the following equations from standard to vertex form. As with standard form, you can tell the graph shape from the a value: if a is positive, if a is negative. Notice the line segments drawn from point F to point P and from point P to point D. Virtual Nerd Changing from Standard to Vertex Form I found this video very clear and helpful for learning how to change forms of a quadratic equation. Describe how to transform the parent function. Perform the completing the square process for each of the following equations. The method is explained in detail with tutorials and a step-by-step method. About Graphing Quadratic Functions. Note that the parabola has equation that contains only one squared term. Standard form of Quadratic equation is written as ax 2 + bx + c, where a, b and c are coefficients and x and y are variables. Vertex Form. USE PENCIL ONLY!! If you need help, use a graphing calculator, or go to desmos. It wouldn't take much to do a better job than last year. Try to find the easy points first, to minimize how many calculations you have to do. Step 2: Find the y-intercept. y = (- 3)2 + 6(- 3) + 8 y = 9 – 18 + 8 = - 9 + 8 = - 1 Step 4: The vertex is (- 3, - 1) Step 5: The axis of symmetry is x = - 3 and the minimum is - 1. If ever you will be needing assistance with algebra and in particular with vertex form online calculator or calculus come visit us at Algebra-equation. Graphing Quadratic Functions in Vertex Form Practice Worksheet With Answers; Vertex Form Worksheet - Algebra Ii; A Note From the Tooth Fairy Certificate Template; A Note From the Tooth Fairy Certificate Template; Form MVT 5-6 Affidavit for Assignment of Title for a Vehicle From a Deceased Owner Whose Estate Does Not Require Probate - Alabama. When a quadratic function is written in vertex form, we can easily determine the vertex (h, k). Vertex form of Quadratic Functions is. in matrix form: there is an orthogonal Q s. FYI: Different textbooks have different interpretations of the reference " standard form " of a quadratic function. f R QAel 5l G yrdiHgOhZtWs4 ir Begs 2e 8rIv 8e sdI. Furthermore, the graph will be a shift of y = ax2 i. The axis of symmetry goes through the vertex point. If the equation can be solved, we also want to look at the equation in factored form. Ensure that your equation is written in standard form. To convert the factored form (or vertex form) to standard form, one needs to multiply, expand and/or distribute the factors. The primary difference between solving a quadratic by completing the square and putting an equation into vertex form is substituting a "y" for the "0" in the initial equation. Describe the effects of changes in the coefficients of y = a (x-h) 2 + k. Characteristics of Quadratic Functions of the form y a x h k ()2 The graph opens up if a 0 and opens down if a 0 The vertex is ( , )hk The axis of. Whitehall District Schools Andy Malbouef | License License | Download Download. Use it to nd one root. The 4a part of the standard form is actually 4(1), if you want to show that the a value is 1. View Notes - Quadratics Vertex Form from MBF 3C at Cedarbrae Collegiate Institute. Recall that a parabola is formed when graphing a quadratic equation. Standard form to vertex form by completing the square : Here we are going to see how to convert quadratic equation from standard form to vertex form. We have seen that if a parabola is in the form y = (x − h) 2 + d, then we can find its vertex, its axis of symmetry, and produce a sketch with little effort. The two roots are on the right. graph a parabola using from an equation given in vertex form, identify the vertex of a parabola from a quadratic function given in vertex form, and to use a chart in order to help them graph a parabola. I can graph quadratic functions in vertex form (using basic transformations). org quadratic equations year 10 worksheets, quadratic equations uses, quadratic equations in vertex form, quadratic equations year 8, quadratic equations… Read More. Forms of Quadratic Functions Standard Form Factored Form Vertex Form Given the vertex of a quadratic graph write the function in vertex and standard forms. Label the vertex and axis of symmetry. Advanced Math Name _____ Worksheet—Vertex Form to Standard Form Date _____ Hour _____ We have been working with quadratic equations in Vertex Form,. - A free PowerPoint PPT presentation (displayed as a Flash slide show) on PowerShow. Its graph can be represented by a parabola, opens either upward or downward. Perfect for acing essays, tests, and quizzes, as well as for writing lesson plans. Check the sign of a to see if it opens up or down. This form of the quadratic function is known as the vertex form. Section 6-5: Parabolas A parabola is the set of all points P in the plane that are equidistant from a fixed point F (focus) and a fixed line d (directrix). To find the y-value of this vertex, simply substitute your x-value into your equation. The vertex form is y= a (x - h) 2 + k where (h, k) is. A quadratic function graphs into a parabola, a curve shape like the McDonald's arches. y = -2x2 + 2x +2. Quadratic Transformation Worksheet Name_____ Write the quadratic equation, in vertex form for each graph. Changing from vertex form to standard (expanded) form. Reflect those onto the right side of the vertex and we'll see (1, -10) and (2, -20) are also points on the parabola. In this lesson, you will see some advantages of a third form called factored form. Since the equation is in vertex form, the vertex will be at the point (h, k). In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x - h" is squared, so its value is always zero or greater; being squared, it can never be negative. Both forms have different uses, so it is helpful to be able to know how to convert from one to the other. Graphing a quadratic function is streamlined in vertex form. We don't need to solve for the y-intercept, because it happens to be our vertex. Convert the given quadratic equation in Vertex Form = a 2 + b + c = ( , ) Finding the vertex point is important to find the minimum or the maximum point in a parabolic or quadratic function. 9-1 Graphing Quadratic Functions. The graph of a quadratic function is called a parabola. We have math word walls all over our classroom and I give them math cheat sheets for every unit and topic we learn. If an input is given then it can easily show the result for the given number. 1 Graph Quadratic Functions in Vertex Form A2. Check the sign of a to see if it opens up or down. Students develop an understanding of maximum/minimum, axis of symmetry, zeros, and vertex of quadratic functions in factored form. parabola to calculate the corresponding value for y. Write an equation for the parabola graphed with the solid. Sorry for the interruption. To graph a parabola, visit parabola grapher (choose the implicit option). The vertex of the quadratic y = a ( x - h ) 2 + k is the point ( h , k ). 5-1 Using Transformations to Graph Quadratic Functions Objectives Transform quadratic functions. because of symmetry. Vertex Form of a parabola gives the equation of the parabola in terms of vertex coordinates(h,k). Notice that our function is equivalent to y = -3(x - 0) 2 + 1. To find the x-intercept let y = 0 and solve for x. Vertex Form of a parabola gives the equation of the parabola in terms of vertex coordinates(h,k). Vertex Form Quadratic. Both forms have different uses, so it is helpful to be able to know how to convert from one to the other. So our vertex (1, -3) is the minimum point. Check the sign of a to see if it opens up or down. I wanted to make a function to get a quadratic equation given the vertex and a point. Vertex Form : Vertex is the common point to join the two line segments. The vertex form of a quadratic has the form y = m(x – s) 2 + t for some m, s and t. I pass out Completing the Square Worksheet 1 and give students 5-10 minutes to practice writing perfect square trinomials as squares of binomials. If yes we can follow the second step. Find the Vertex Form. f(x) = a(x - h) 2 + k and the properties of their graphs such as vertex and x and y intercepts are explored, interactively, using an applet. i dont remember what the points were, so lets just say they. Teachers should also stress that the equation x = h is the line of symmetry for the parabola. Find the vertex. Expressing a quadratic in vertex form (or turning point form) lets you see it as a dilation and/or translation of. Quadratic functions in standard form. Free quadratic equation calculator - Solve quadratic equations using factoring, complete the square and the quadratic formula step-by-step. Standard Form: y = ax 2 + bx + c Vertex Form: y = a(x - h) 2 + k The Vertex of the Parabola: The vertex is a point V(h,k) on. Asymptotic behavior of the vertex. Due to the limitation of KNILT. You can sketch quadratic function in 4 steps. Find more Mathematics widgets in Wolfram|Alpha. docx 08-Algebra Review. THE QUADRATIC FUNCTION IN INTERCEPT FORM The graph of the quadratic function in standard form, f(x) = ax² + bx + c, is a parabola that may. When we’re given the vertex and a point on the parabola, and asked to find the focus, we’re going to want to use a the following process. It wouldn't take much to do a better job than last year. Follow along with this tutorial to see how to use the completing the square method to change a quadratic equation from standard form to vertex form!. move the constant term from the Y-side to the X-side, and we have a quadratic function in vertex form! Intro Lesson Introduction to completing the square using the "6-step approach": y = 2 x 2 − 1 2 x + 1 0 y=2x^2-12x+10 y = 2 x 2 − 1 2 x + 1 0. The following "vertex formula" will give us the x coordinate for the vertex of the parabola. I can graph quadratic functions in standard form (using properties of quadratics). h =−5t2 +4t +1 =(−5t −1)(t−1) The t-intercepts are − 1 5 and 1. Start with Staples® to discover quadratic+standard+form+to+vertex+form+calculator available now. Demonstration of Focus Point for a Parabola (Manipula Math) Drawing a Parabola (Manipula Math) The equations of the parabola are as follows:. A quadratic function can be written in the form y = a x 2 + bx + c, where a ≠ 0. Lars Brink. Ensure that your equation is written in standard form. Expressing quadratic functions in the vertex form is basically just changing the format of the equation to give us different information, namely the vertex. If a>0, parabola is upward, a0, parabola is downward. Quadratic Form to Form Notes Change quadratic functions to standard form Rewrite (x+1)² Multiply using FOIL Combine like terms Don’t forget your +2 Standard Form Compare Vertex vs. where a, b and c are constants. We know that a quadratic equation will be in the form: y = ax 2 + bx + c. Quadratics in Vertex Form - Practice Name_____ ID: 1 Date_____ Period____ ©x Z2e0h1x8t MKtugtlaD LSRoWfItjwQa`rMeF ELLLwCh. A quadratic equation can be written as ax 2 + bx + c = 0, as long as a does not equal 0. We examine the structure of quadratic functions in vertex form, noticing that there is a squared binomial in the form. How to change a quadratic equation from standard form what is vertex form example get education how to graph a quadratic equation 10 steps with pictures how to convert quadratic into vertex form How To Change A Quadratic Equation From Standard Form What Is Vertex Form Example Get Education How To Graph A Quadratic Equation 10 Steps With…. The graph of a quadratic function is always a parabola. In order to insure the same vertex we translate by twice the negative of the y-coordinate for the vertex of the parabola we reflected. A second algebraic approach uses the method of completing the square to find the vertex of the parabola. Furthermore, point out that the vertex form, as written has (x – h), and that h is the x-coordinate of the vertex. The vertex form of a quadratic function is given by f ( x ) = a ( x - h ) 2 + k , where ( h, k ) is the vertex of the parabola. This is the form displayed in both the VPython Parabola and Excel parabola programs. With this form of the quadratic formula one can easily visualize the shape of the graph. Quadratic Transformations (Vertex form) Description Students will explore quadratic transformations by changing a, h, and k values using vertex form. The vertex form of a parabola's equation is generally expressed as: y = a(x-h) 2 +k (h,k) is the vertex as you can see in the picture below If a is positive then the parabola opens upwards like a regular "U". a) Write a quadratic function in vertex form that models the shape of this archway. The Attempt at a Solution. To find the y-intercept let x = 0 and solve for y. A quadratic equation is a polynomial equation that contains the second degree, but no higher degree, of the variable. Because the vertex appears in the standard form of the quadratic function, this form is also known as the vertex form of a quadratic function. The Factored Form of a Quadratic Function 729 Lesson 12-3 The Factored Form of 12-3 a Quadratic Function You have seen two forms of equations for a quadratic function: standard form and vertex form. • Convert from standard (expanded) form to. identify the vertex minimum or maximum of the parabola. Use this description to write the quadratic function in vertex form: The parent function is vertically stretched by a factor of 3 and translated 2 units. in matrix form: there is an orthogonal Q s. Rewrite the quadratic equation y=x^2-8x+19 in vertex form. If the equation can be solved, we also want to look at the equation in factored form. The Vertex Form of the equation of a parabola is very useful. In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x - h" is squared, so its value is always zero or greater; being squared, it can never be negative. How to change a quadratic equation from standard form vertex form of a quadratic equation calculator here s what what is vertex form example get education how to graph a quadratic equation 10 steps with pictures How To Change A Quadratic Equation From Standard Form Vertex Form Of A Quadratic Equation Calculator Here S What What Is Vertex…. Browse by desired features, quadratic+standard+form+to+vertex+form+calculator on sale, prices and ratings. Algebra Examples. The value of a. 2 The focus of the parabolay2 = ax is a 4 units on one side of the vertex of the parabola along the axis, and and the directrix intersects the axis a = 4 units on the other side. Practice Worksheet: Graphing Quadratic Functions in Vertex Form For #1 -6, label the axis of symmetry, vertex, y intercept, and at least three more points on the graph. Write the equation of the new parabola in the form y = a(x — + k. Use words and/or numbers to show how you determined your answer. Graphing a Quadratic Equation in Vertex Form. Graphing Quadratics: Vertex Form. - axis of symmetry The 5th point can be done easily if you choose a - x-intercepts value for “x” that is equidistance from the axis. Once they were older, I quickly realized that I was not able to create efficient math lesson plans before I did not have the knowledge to do so. • Convert from standard (expanded) form to. Use the Distance Formula to write an equation of the parabola with focus F(0, 2) and directrix y = −2. Place a quadratic equation in standard form. A quadratic function can be graphed using a table of values. Quadratics and Vertex Form (Algebra One) The last form for us to go over is vertex form. When you need help on subtracting rational expressions or mathematics courses, Solve-variable. Graphing doesn't need to be tedious! When pupils understand key features and transformations, graphing becomes efficient. When you find yourself graphing a parabola in vertex form, here's what you do. Quadratic functions in standard form. 8 MULTIPLE CHOICE 1. Learn vocabulary, terms, and more with flashcards, games, and other study tools. Its graph can be represented by a parabola, opens either upward or downward. Graphing Quadratic functions in vertex or intercept form completing the square tutorial five consective intergers have a sum of zero write a equation you would use to find these intergers. That means we can find the vertex by using the formula. Vertex form of Quadratic: a(x How can you find the coordinates of the vertex from your equation?_____. com and uncover complex, factor and a great deal of additional algebra topics. Converting a quadratic function to expanded form is called expanding. In this article if you stay with me you can easily learn how to find all these variables. *Check out completing the square for help with this step. In this section we are going to look at equations that are called quadratic in form or reducible to quadratic in form. For example, graph y=-2(x-2)²+5. Sudarshan Ananth. Quadratic Equations in Vertex Form/Parabola SOLVED! Q: A cable that hangs between two telephone poles makes a parabola shape that has the equation y = 12(x-5) 2 - 18, where x and y are measured in feet. So far in their study of quadratic expressions and functions, students have learned how both standard trinomial forms (for example, x 2 + 5x + 6) and factored forms (for example, (x + 2)(x + 3)) reveal important information about the related functions and their graphs. This article explains a general method to convert a quadratic function, in standard form y = ax^2 + bx + c, to intercept form y = a(x - x1)(x - x2), and vertex form y = a(x - p)^2 + q. 1 ( 4) 2 2. A parabola is a U-shaped curve that can open either up or down. Converting an equation from General Form to Standard Form: Vertex: (h, k) = (3, -1) Since ‘x’ is squared, this parabola opens vertically. If we identify the vertex of a quadratic, we can just plug it in the formula and get the equation. Plot the points. Sample Questions - Quadratic Functions I F. A quadratic function is any function that can be written in the standard form y = a x 2 + bx + c, where a, b, and c are real numbers and a ≠ 0. Determine the vertex point (h,k) and graph it. The following "vertex formula" will give us the x coordinate for the vertex of the parabola. We know that the x-coordinate of the vertex occurs at the AVERAGE of the 2 zeroes of the Quadratic Function. When a quadratic function is given in vertex form, , it is easy to see the new location of the vertex. The vertex form of parabola or quadratic equation is written as y = m(x-h) 2 + k. move the constant term from the Y-side to the X-side, and we have a quadratic function in vertex form! Intro Lesson Introduction to completing the square using the "6-step approach": y = 2 x 2 − 1 2 x + 1 0 y=2x^2-12x+10 y = 2 x 2 − 1 2 x + 1 0. By the defi nition of a parabola, these line segments must be congruent. Example 1:. D6 x-intercepts: (3, 0 Match a Quadratic Graph to its Standard, Vertex, and Intercept Form b. Each has advantages and can be used to find different attributes of a quadratic equation or function. The domain of a parabola opening upward or downward consists of all real numbers. To find the y-value of this vertex, simply substitute your x-value into your equation. You can start with any form but for this example we will start with vertex form. Quadratics and Vertex Form (Algebra One) The last form for us to go over is vertex form. Linear functions are degree 1; quadratic functions are degree 2. So the x-coordinate of the vertex is -4. The following video shows how to use the method of Completing the Square to convert a quadratic function from standard form to vertex form. The standard form of a quadratic equation is y = ax^2 + bx + c, where "x" and "y" are variables and "a," "b" and "c" are integers. Step 2: Inversion a. A quadratic equation can be written as ax 2 + bx + c = 0, as long as a does not equal 0. Lars Brink. Key Ideas For a quadratic function in vertex form, (xf) = a(x-p)2 + q, a ≠ 0, the graph: has the shape of a parabola has its vertex at (p, q) has an axis of symmetry with. When a quadratic function is given in vertex form, , it is easy to see the new location of the vertex. Standard Vertex form: Standard form: a = 1 b = 2 c = 3 You will learn that you will need to identify the values for a, b, and c. And you are able to pick that out just by looking at the quadratic in vertex form. Notice that the graph is not linear. You are able to find the vertex, intercepts, describe what graphs look like and solve applications. Sample Questions - Quadratic Functions I F. Quadratic Functions (vertex form) Graph f(x) = −2(x + 3)2 + 4. Use the vertex form and the root form tabs/buttons to visualize or check the values of the coordinates of the vertex and roots. In vertex form, a quadratic function is written as y = a(x-h) 2 + k See also Quadratic Explorer - standard form. From Vertex To Standard Form. (The vertex formula is derived from the completing-the-square process, just as is the Quadratic Formula. Play with the "Quadratic Equation Explorer" so you can see: the graph it makes, and ; the solutions (called "roots"). yx x=− + − 2122 7 0. Curve Sketching, Functions, Function Graph, Parabola, Quadratic Equations, Quadratic Functions, Root Use the sliders to transform the blue graph to the green graph. The graph below contains three green sliders. )Here is an example: Graphing. Standard form is f(x)=ax 2 +bx+c, while vertex form is f(x)=a(x-h) 2 +k. Vertex form of Quadratic Functions is. a) Write a quadratic function in vertex form that models the shape of this archway. The equation of the axis of symmetry for the graph of this function is; An equation of a parabola with its vertex in Quadrant II is. You can also use the axis of symmetry and the vertex to graph quadratic functions written in vertex form. Example of how to convert the equation of a parabola from vertex to standard form. In the basic form, the coefficient before x 2 is 1. Subtract from both sides of the equation. Vertex is a max and is the maximum value 1. This is a similar concept to the case when we shifted the centre of a circle from the origin. Give approximate values for the solution(s) to the equation and label the vertex, the highest or the lowest point of the graph, with the letter V. Come to Algebra-cheat. The 4a part of the standard form is actually 4(1), if you want to show that the a value is 1. Where x S and y S are the x and y coordinates of the vertex of the parabola. 4 resources to help with " Changing from Standard form to Vertex Form. An easy to use calculator to find the vertex, x and y intercepts of the graph of a quadratic function and write the function in vertex form. This year, I made it my goal that students would identify the form of a quadratic function first. If \(p>0\), the parabola opens up. b) Determine the height of the archway at a point that is 50 cm from its outer edge. The axis is the line x = h. Once the x-coordinate is found, plug it into the original equation to find the y-coordinate. The graph of is shown below. If the major axis is parallel to the x axis, interchange x and y during your calculation. This function is a quadratic function. When a quadratic function is given in vertex form, , it is easy to see the new location of the vertex. We have math word walls all over our classroom and I give them math cheat sheets for every unit and topic we learn. To convert from. Vertex form of Quadratic Functions is. com makes available simple info on convert to vertex form calculator, substitution and logarithmic and other algebra subjects. Then find the vertex and the x-intercepts. Standard form to vertex form by completing the square : Here we are going to see how to convert quadratic equation from standard form to vertex form. Previously, you used transformations to graph quadratic functions in vertex form. This is the form displayed in both the VPython Parabola and Excel parabola programs. To convert the standard form to vertex form, one needs a process called completing the square. Source(s):. Note that the parabola has equation that contains only one squared term. Q p TMAapd Lec GwAi7t eh4 JI Tnxf Gixn UiRtVew rA9l NgBeAb2rsa U B1u. Graphing Quadratics: Vertex Form. Write the equation of the new parabola in the form y = a(x — + k. Find the standard form of the equation of the parabola with a focus at (0, -2) and a directrix at y = 2. Slide 6: As you can see from the previous graphs, you can find the vertex, axis of symmetry, and the maximum or minimum just by using the equation. Plot the points. Solve the equation and write the five intergers. For this equation, the vertex is (2, -3). You can start with any form but for this example we will start with vertex form. This form of equation is called standard form. We will be able to write the entire vertex form of the equation except for our leading coefficient, a. To find the y-value of this vertex, simply substitute your x-value into your equation. Quadratic Form to Form Notes Change quadratic functions to standard form Rewrite (x+1)² Multiply using FOIL Combine like terms Don’t forget your +2 Standard Form Compare Vertex vs. FYI: Different textbooks have different interpretations of the reference " standard form " of a quadratic function. Vertex Form and Factored Form of Quadratic Equations. The zeros are the points where the parabola crosses the x-axis. The graph creates a parabola. 1 = a Divide each side by 4. Communities. The parabola can either be in "legs up" or "legs down" orientation. To find the vertex of a quadratic equation, start by identifying the values of a, b, and c. In parabola, vertex is the measurement of the maximum or minimum point in a curve. Vertex Form of Parabolas Date_____ Period____ Use the information provided to write the vertex form equation of each parabola. The Vertex Form of the quadratic model is : , where a is a constant and (h, k) is the coordinate of the vertex. Lars Brink. The standard form of a quadratic equation is y = ax^2 + bx + c, where "x" and "y" are variables and "a," "b" and "c" are integers. When an expression is in Vertex Form, the vertex is (h,k). The range is bounded by the y-value of the vertex. Step 2: Find the y-intercept. Math Calculators, Lessons and Formulas. Replace f(x) by y. y = x2 + 12x - 3 14. For each of the following. ) Write the vertex form of a quadratic equation. Vertex: (2, -1) Axis of Symmetry: x = 2 (20) Describe the differences between a linear and a quadratic function. com Vertex Form of the Parabola Finding the Equation of a Parabola Worksheet 2 Click on the link in the header or scan the QR-Code to View Online Notes and Tutorials. Last year, I didn't even teach my students the names for the different forms of a quadratic function. About Graphing Quadratic Functions. Sketch the graph of each function on this worksheet or graph paper. You can write. I decided to home school my children at a young age. Then solve the quadratic equations. In this lesson, we will talk about how to find the x-intercepts, y-intercepts, vertex of quadratic functions in vertex form. However, quadratics are not usually written in vertex form. Vertex form of the quadratic equation (y - k) = a(x - h) 2 (i) First we have to check whether the coefficient of x ² is 1 or not. I wanted to make a function to get a quadratic equation given the vertex and a point. We have math word walls all over our classroom and I give them math cheat sheets for every unit and topic we learn. That means we can find the vertex by using the formula. Notice that our function is equivalent to y = -3(x – 0) 2 + 1. Step-by-Step Examples. An alternate approach to finding the vertex is to rewrite the quadratic equation in the form y = a (x − h) 2 + k. This is a similar concept to the case when we shifted the centre of a circle from the origin.