Precalculus (6th Edition) Blitzer

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

Chapter 4 - Cumulative Review Exercises - Page 648: 15

Answer

See graph and explanations.

Work Step by Step

Step 1. Rewrite the function as $y=sin2(x+\frac{\pi}{4})$ Step 2. Using transformation, start from $y=sin(x)$ and first shift the curve left by $\frac{\pi}{4}$; then shrink horizontally by a factor of 2 to obtain the red curve. Step 3. Present the curve over the interval $[0,2\pi]$ as shown in the figure.
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