Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 5 - Cumulative Review Exercises - Page 709: 9

Answer

See graph and explanations.

Work Step by Step

Given $y=3cos(2x)$, we can identify its period as $p=\frac{2\pi}{2}=\pi$. To graph the function, start from $y=cos(2x)$ (green curve), shrink horizontally by a factor of 2, then stretch vertically by a factor of 3 to get the red curve for $y=3cos(2x)$ as shown in the figure.
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