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Vertex: (−5, 2) Axis of Sym.: x = −5. Vertex: (−2, −1) Axis of Sym.: x = −2. Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com.
The last equation is called the standard form of the quadratic function, in the form: y = a(x – h)2 + k This is also called the vertex form of quadratic function which is very useful in solving problems modeled by the quadratic function. It easily gives you the vertex of the parabola at (h, k).
The Vertex Form of a quadratic equation is where represents the vertex of an equation and is the same a value used in the Standard Form equation. Converting from Standard Form to Vertex Form: Determine the vertex of your original
Practice writing quadratic equations in standard form and identifying a, b and c. Remember, standard form is y ax bx c = + + 2 . Sample #1 : y x x = − + −2 8 2 Sample #2 : y x = − +25 2
Graph Standard and Vertex Form of Quadratics. Date________________ Period____. Calculate the vertex (show work for the problems that are in Standard Form #1-5) Record the vertex in the blank provided. Make sure to write it as an ordered pair. For example (2,-3)
Quadratic Transformation Worksheet 1. Describe the transformation of each quadratic function below form the base form !=#!. a) ($(# )=#−0!+3 b) $(#)=3(#−4!−6 c) $(#)="! (#+2)!+3 2. Write a quadratic equation in vertex form (!=.(#−ℎ)!+0) for each description or graph below. *Remember to use the base form !=#! as your starting point*
You can solve a quadratic equation of the form ax2 bx c 0 by graphing the function or factoring f (x) ax2 bx c where f(x) = 0. The solutions to a quadratic equation are called the _____ of the equation. You can find the roots of the equation by determining the _____ (or _____) of the graph.
