1. 2.1B Standard (Vertex) Form of a Quadratic Standard (Vertex)form of a quadratic function: F(x) = a(x – h)² + k a ≠0 Vertex ( h, k) (opposite of # with x, k) Axis of symmetry : vertical line x = h (x value of vertex) A > 1 (positive) : Opens up – Minimum A < 1 (negative) : Opens down - Maximum

2. Steps to Rewriting a Quadratic Function in Standard (Vertex) Form 1.) Move all terms to one side (+ or -) 2.) Combine like terms 3.) Group x-terms in a ( ) 4. ) Divide (factor) out coefficient from ( ) 5.) Find correct 3 rd term in ( ) : (b/2)² 6.) Add 3 rd term in ( ) 7. ) Subtract a(3 rd term) outside ( ) 8.) Rewrite ( ) as ( x + b)² : binomial squared 9.) Combine terms outside ( )

3. Examples : Write in standard form, identify vertex, x-int., y-int. & graph 1. f(x) = x² - 8x + 16

4. Examples Continued 2. 2x² + 8x + 7

5. More examples 3. -(x² + 2x – 3)