Precalculus (6th Edition) Blitzer

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

Chapter 8 - Cumulative Review Exercises - Page 952: 21

Answer

See graph and explanations.
1585956463

Work Step by Step

Step 1. Given $y=2sin(2\pi x), 0\leq x\leq 2$, we can identify its amplitude as $|A|=2$, period as $p=\frac{2\pi}{2\pi}=1$, and phase shift as $0$. Step 2. Draw $y=2sin(x)$ (red) and shrink the curve horizontally by a factor of $2\pi$ as shown in the figure (blue).
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