Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - Summary Exercises on Graphing Circular Functions - Exercises - Page 633: 6

Answer

See graph and explanations.

Work Step by Step

1. Rewrite the function as $y=3tan(\frac{\pi}{2}x+\pi)=3tan[\frac{\pi}{2}(x+2))]$, we have $p=\frac{\pi}{\frac{\pi}{2}}=2$. 2. Graph $y=tan(x)$ (blue), shift the curve 2 units to the left, shrink the curve horizontally by a factor of $\frac{\pi}{2}$, stretch vertically by a factor of 3 to get $y=3tan(\frac{\pi}{2}x+\pi)$ (red).
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