Warm up m = 5 (2, ∞) Find the average rate of change between -2 and 1. 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. h = Using table, edit function, start = h, find the k-value. Go get the a from the original problem. 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 3 b = 8 c = 1

Convert from Standard Form to Vertex Form Example 4 b = 10 c = 20

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

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

Converting from Standard Form to Vertex Form USING TI 36X PRO Click the poly-solv button (2nd cos) and 1 Enter your a, b & c values from your standard form equation Enter, Solve, Enter, Enter, NO, NO, YES Keep scrolling all the way down to the bottom to see your a, h, and k values Substitute into f(x) = a(x – h)2 + k

Changing Forms of quadratics Classwork