1. FINDING THE EQUATION OF A QUADRATIC FUNCTION Foldable

2. STEP 1 (INSIDE ON THE LEFT)  Find the vertex (h, k)  Find the coordinate of another point (x, y) on the parabola

3. STEP 1 (INSIDE ON THE RIGHT)  Vertex = (1,0)  h = 1  K = 0  Pick a point: = (2, 1)  X = 2  Y = 1

4. STEP 2 (INSIDE ON THE LEFT)

5. STEP 2 ( INSIDE ON THE RIGHT)  Vertex = (1, 0)  h = 1  k = 0

6. STEP 3 (INSIDE ON THE LEFT)  Rewrite the equation with the (x, y) substituted in.

7. STEP 3 (INSIDE ON THE RIGHT)

8. STEP 4 (INSIDE ON THE LEFT)  Now, solve algebraically for the variable “a”!

9. STEP 4 (ON THE RIGHT SIDE)

10. STEP 5 (INSIDE ON THE LEFT)  Substitute a, h, and k into your original equation.

11. STEP 5 (INSIDE ON THE RIGHT) h = 1 k = 0 a = 1

12. STEP 6 (INSIDE ON THE LEFT)  Put your new function into simplest form.

13. STEP 6 (INSIDE ON THE RIGHT)