1. Section 7.5 – Graphing Quadratic Functions Using Properties

2. A function that can be written in the form, where is a quadratic function. Quadratic Function The graph of a quadratic function is a parabola. vertex y-intercept x-intercept opens up Concave Up

3. Quadratic Function - Concavity

4. If a > 0, concave up If a < 0, concave down Matching

5. Quadratic Function – y-intercept

6. y-intercept: (0, c) Matching

7. Quadratic Function – x-intercepts Can’t be factored using real numbers

8. The x-intercepts of are the REAL solutions to the quadratic equation. Quadratic Function – x-intercepts Two Real Solutions One Real Solution No Real Solutions

9. Quadratic Function – x-intercepts

10. The vertex of the parabola is an ordered pair, (h, k). It can be found by finding the x value first: Once you have found the x value, substitute that value in to the function and simplify to find the y value. Finding the Vertex – Standard Form

11. Finding the Vertex - Standard Form Vertex:

12. Finding the Vertex - Standard Form Vertex: