1. Graphing Quadratics in Standard Form
Section
4.2
Graphing Quadratics in Standard Form

2. Use a Formula for Finding the Vertex of a Parabola.
Objective 1
Use a Formula for Finding the Vertex of a Parabola.

3. Vertex Formula
The graph of f(x) = ax2 + bx + c, when a ≠ 0, is a parabola with vertex

4. Example 1
Find the vertex of the graph of

5. Example 1
Find the x intercepts of the graph of

6. Example 1
Graph

7. Example 2
Graph f(x) = 3x2 – 4x - 10

8. Example 3
Graph f(x) = x2 + 3x - 10

9. Find the Minimum or Maximum Value of a Quadratic Function.
Objective 1
Find the Minimum or Maximum Value of a Quadratic Function.

10. Finding a Maximum or Minimum
The quadratic function whose graph is a parabola that opens upward has a minimum value, and the quadratic function whose graph is a parabola that opens downward has a maximum value. The f(x)- or y-value of the vertex is the minimum, or maximum value of the function.

11. Example
The Utah Ski Club sells calendars to raise money. The profit P, in cents, from selling x calendars is given by the equation P(x) = 360x – x2. What is the maximum profit the club will earn?
Continued