1. Review: Simplify

2. Review
Solve the equation 5) 6) 7)

3. Solve the equation
8) 9)

5. Quadratic Functions and Their Graphs
Chapter 8 Section 3
Quadratic Functions and Their Graphs

6. What do you know? 3x2 + 12x + 8 = 0 What is the shape?
If – 3 is the leading coefficient, how does the shape change?
What is know about the x-intercepts?

7. Graph of a Quadratic Function
f(x) =
Graph is a parabola
Vertex
Axis of symmetry

8. Form: f(x) = a(x - h)2 + k Opens - - Vertex (h, k)
Axis of symmetry: x = h
Example: f(x) = -2(x – 3)2 + 8
Opens
Vertex: (3, -8)
Axis of symmetry: x = 3

9. Find Direction of opening Vertex Equation of the axis of symmetry
x-intercept(s)
f(x) =
g(x) =

10. Form: f(x) = ax2 + bx + c Opens? x coordinate of the vertex:
x intercepts: solve f(x) = 0
y intercept: (0, c)

11. Find Direction of opening Vertex Equation of the axis of symmetry
x-intercept(s)
c) f(x) =
d) g(x) =

12. How would you determine?
Graph has a maximum value or minimum value.

13. Write the equation, same shape as f(x) = 2x2 but
Has the vertex at (5, 3)
Maximum = 4 at x = -2

14. Summary Quadratic Function How the x intercepts relate to the equation
Shape
Vertex
x, y intercept
graph