Precalculus (6th Edition) Blitzer

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

Chapter 4 - Section 4.5 - Graphs of Sine and Cosine Functions - Exercise Set - Page 598: 93

Answer

See explanations.

Work Step by Step

Step 1. Given the function $y=Asin(Bx-C)$, we can see that the function will oscillate around $y=0$ with an amplitude of $|A|$. Step 2. We can find its period as $p=\frac{2\pi}{B}$ Step 3. We can find its phase shift as $\phi=\frac{C}{B}$ Step 4. To graph the function, start from $y=Asin(Bx)$ whose features are given above and $y(0)=0$; then shift the curve $\frac{C}{B}$ units to right.
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