Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 7 - Analytic Trigonometry - 7.3 Trigonometric Equations - 7.3 Assess Your Understanding - Page 470: 126

Answer

$|A|=2$, $p=\pi$, $\phi=\frac{\pi}{2}$. See graph.

Work Step by Step

Step 1. Given $y=2sin(2x-\pi)=2sin(2(x-\frac{\pi}{2}))$, we can identify its amplitude $|A|=2$, period $p=\frac{2\pi}{2}=\pi$, phase shift $\phi=\frac{\pi}{2}$ Step 2. See graph.
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