Chapter 6

Quadratic Functions and Relations

A quadratic function is created from a quadratic expression — an expression with a variable raised to the second power. The graphs of quadratic functions look like U-shaped curves that open upward or downward. A quadratic relation may open left or right. The key to graphing a quadratic function or relation is to find its vertex, determine which way it opens, and find a point or two that can be used to sketch the curve.

The Problems You’ll Work On

In this chapter, you’ll work with quadratic curves in the following ways:

check.png Determining the vertex and intercepts from the function rule

check.png Rewriting quadratic functions in the standard form for a parabola

check.png Sketching the graphs of parabolas

check.png Using quadratic functions and their properties to solve applications

What to Watch Out For

Don’t let common mistakes trip you up; watch for the following when working with quadratic curves:

check.png Finding the opposite of the coefficient of b when solving for the coordinates ...

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