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

7. Convert from Standard Form to Vertex Form Example 3
b = 8
c = 1

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

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

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

11. 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

12. Changing Forms of quadratics
Classwork