Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 6 - The Circular Functions and Their Graphs - 6.4 Translations of the Graphs of the Sine and Cosine Functions - 6.4 Exercises - Page 613: 20

Answer

D

Work Step by Step

Comparing $y=2\sin(3x-4)$ to $y=A\sin(\omega x-\phi)$, note that $A=2$, $\omega=3$, and $\phi=4$. Amplitude=$|A|=2$ Period $T=\frac{2\pi}{\omega}=\frac{2\pi}{3}$ and Phase shift = $\frac{\phi}{\omega}=\frac{4}{3}$ Option D is the correct match.
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