1. 5.2 Properties of Parabolas

2. y = ax2 + bx + c Standard Form
“c” is the y-intercept.
If b = 0 then y = ax2 + c
Axis of symmetry: x = 0
Vertex (0, c)

3. EX 1
Graph: y =

4. If a > 0 then opens up.
If a < 0 then opens down.
Axis of Symmetry: x =

6. EX 2
Graph y =

7. The y value of the vertex is the maximum or minimum of the quadratic function.

8. EX 3
Graph y =

9. EX 4
Find two numbers with a difference of 10 and a product that is a minimum. Find the minimum product.

10. EX 5
Suppose you want to frame a collage of pictures. You have a 9-ft strip of wood for the frame. What dimensions of the frame give you the maximum area for the collage? What is the maximum area?