**Chapter 5Quadratic Functions and Relations**

5.1 Basic Definitions

5.2 Solving Quadratic Equations by Factoring

5.3 Completing the Square

5.4 Complex Numbers

5.5 Solving Quadratic Equations by the Quadratic Formula

5.6 Solving Quadratic Inequalities

5.7 Graphing Quadratic Functions

**5.1 Basic Definitions**

A *quadratic function* has the form *f(x)* = *ax*^{2} + *bx* + *c* where *a* ≠ 0. Notice that a quadratic function has a quadratic term, a linear term and a constant term.

The *general form* of a *quadratic equation* is *ax*^{2} + *bx* + *c* = 0 where *a* ≠ 0.

The solution to a quadratic equation can be represented graphically by where the corresponding quadratic function crosses ...