Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 14 Trigonometric Graphs, Identities, and Equations - Chapter Test - Page 969: 3

Answer

See the graph below.

Work Step by Step

We can easily graph the following function using a Graphing Calculator (Graph attached): $f(x)=-4\tan{(\frac{\pi}{2}x})$ The $-$ sign in the beginning reflects the graph of the regular $tan{(x)}$ graph over the $y$-axis. $4$ stretches the graph vertically by a factor of $4$. Finally $\frac{\pi}{2}$ stretches the graph horizontally by a factor of $\frac{\pi}{2}$. And we get the following graph below:
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