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Subject: Image Created Date: 2/17/2012 9:20:12 AM Change the vertex form to standard quadratic form. 7. yx=+−2( 3) 62 8. yx=3( 5) 4−+2 _____ _____ Use the values in the table to write a quadratic equation in vertex form, then write the function in standard form. 9. The vertex of the function is (1, −3). 10. The vertex of the function is (−3, −2). _____ _____ _____ _____ 11. The graph ... 9-4 Transforming Quadratic Functions. The quadratic parent function is f(x) = x2. The graph of all other quadratic functions are transformations of the graph of f(x) = x2. For the parent function. f(x) = x2: • The axis of symmetry is x = 0, or the y-axis. • The vertex is (0, 0) • The function has only one zero, 0. LESSON 9-4 Practice B Operations with Functions Use the following functions for Exercises 1–18. f x ___1 2x g x x 2 h x x 8 k x x Find each function. 1. gk x 2. g h x 3. g h x x 2 x x 2 x 8 x x 8 4. fg x 5. gh x 6. __gf x 2 x__ 2 3 x 8 x ____1 2 x 3 Find each value. 7. g k 9 8. h g 3 9. g 3 9 1 121

9.1 Solving Quadratic Equations by Finding Square Roots 9.2 Simplifying Radicals 9.3 Graphing quadratic functions 9.4 Solving Quadratic Equations by Graphing 9.5 Solving Quadratic Equations by the Quadratic Formula 9.6 Applications of the Discriminant 9.7 Graphing Quadratic Inequalities 9.8 Comparing Linear, Exponential, and Quadratic Models Quiz Answer Key Transformations of Quadratic Equations Calculator Exploration Exploration Key Transformations of Quadratic Equations Practice Assignment Completing the Square Guided Notes Guided Notes (completed) Practice Assignment Part 1 Assignment Part 1 Key Practice Assignment Part 2 Part 2 Key Extra Practice Quadratic Formula Guided Notes

Lesson 9-1 Chapter 9 5 Glencoe Algebra 1 Characteristics of Quadratic Functions Quadratic Function a function described by an equation of the form f(x) = ax 2 + bx + c, where a {≠ 0 Example: y which is the maximum. = 2x 2 O + 3 x + 8 The parent graph of the family of quadratic fuctions is y = x 2. Graphs of quadratic functions have a general ... On the student answer document, the student records the transformation of the graph as compared to the parent function and then writes the equation of the quadratic. Transformations begin easy with just one transformation per question (7 questions), then on to two transformations (4 questions) and then finally the last graph has 3 transformations.