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: 21

C

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