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

CHANGING FORMS OF QUADRATICS

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.

Convert from Vertex Form to Standard Form Example 1

Convert from Vertex Form to Standard Form Example 2

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

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

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

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

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

CHANGING FORMS OF QUADRATICS Classwork