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Intermediate Algebra – Student Workbook – Second Edition 2013

Intermediate Algebra – Student Workbook – Second Edition 2013

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Lesson 5a <strong>–</strong> Introduction to Quadratic Functions<br />

We are leaving exponential and logarithmic functions behind and entering an entirely different<br />

world. As you work through this lesson, you will learn to identify quadratic functions and their<br />

graphs (called parabolas). You will learn the important parts of the parabola including the<br />

direction of opening, the vertex, y-intercept, and axis of symmetry.<br />

You will use graphs of quadratic functions to solve equations and, finally, you will learn how to<br />

recognize all the important characteristics of quadratic functions in the context of a specific<br />

application. Even if a problem does not ask you to graph the given quadratic function or<br />

equation, doing so is always a good idea so that you can get a visual feel for the problem at hand.<br />

Lesson Objectives<br />

By the end of this lesson, you should be able to:<br />

1. Identify QUADRATIC FUNCTIONS and list their characteristics<br />

2. Graph a QUADRATIC FUNCTION and determine direction of opening, vertex, axis<br />

of symmetry, y- intercept, x-intercepts.<br />

3. Solve QUADRATIC EQUATIONS by graphing<br />

4. Solve applications involving QUADRATIC FUNCTIONS<br />

Scottsdale Community College Page 183 <strong>Intermediate</strong> <strong>Algebra</strong>

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