1. Vertex Form of a Parabola
Objective: identify the vertex of a parabola using its equation; change from vertex form to standard form and standard form to vertex form.
How are transformation rules used to find the vertex of a parabola? Why do we need “completing the square”?

2. Standard Form of a Quadratic

3. General Form of a Quadratic
Stretch
Up/Down
Left/Right

4. Vertex
The highest or lowest point on a parabola

5. Parent: f(x) = x2
Vertex: (o,o)

6. Child: f(x) = 2(x+3)2 - 1
Stretched vertically by 2, left 3, down 1
Vertex: _______

7. “a” is from the standard equation
Vertex Form
(h, k) is the vertex
“a” is from the standard equation

8. Ex 1) Identify the vertex

9. Ex 2) Identify the vertex

10. Ex 3) Write the vertex form of the equation with vertex: (3, 6) a = 2

11. Ex 4) Write the vertex form of the equation with vertex: (-8, 2) a = 3

12. Ex 5) Find “a” if the vertex is (2, 5) and the graph goes through the point (4, 3)

13. Ex 6) Find “a” if the vertex is (-3, 1) and the graph goes through the point (-2, 8)

14. Changing Vertex Form to Standard Form
1. Box it Out (or FOIL)
2. Distribute
3. Combined like terms

15. Ex 1) Re-write the equation in standard form

16. Ex 2) Re-write the equation in standard form

17. Changing Standard Form to Vertex From
1. Move the constant term over
2. Complete the Square
3. Add the same about to the left side
4. Factor
5. Move the constant term back over

18. Ex 1) Change to vertex form

19. Ex 2) Change to vertex form

20. Ex 3) Change to vertex form