1. Warm up 1. Find the average rate of change between -2 and 1. 2. Find the interval of decrease. m = 5 (2, ∞)

2. CHANGING FORMS OF QUADRATICS

3. Converting from Vertex Form to Standard Form  Multiply out the binomial squared.  Distribute if there is a term out front  Combine like terms.  Write in standard form.

4. Convert from Vertex Form to Standard Form Example 1

5. Convert from Vertex Form to Standard Form Example 2

6. Converting from Standard Form to Vertex Form  Identify a, b, and c.  x value h =  Plug in the h value into the orig find Y (your k value)  Substitute in your found values of a, h, and k. f(x) = a(x – h) 2 + k

7. Convert from Standard Form to Vertex Form Example 5 a = 1 b = 8 c = 1

8. Convert from Standard Form to Vertex Form Example 6 a = 1 b = 10 c = 20

9. Convert from Standard Form to Vertex Form Example 5 a = 3 b = -6 c = 5

10. Convert from Standard Form to Vertex Form Example 6 a = -2 b = -16 c = -32

11. CHANGING FORMS OF QUADRATICS Classwork