Answer
Please see below.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/876ecf57-5290-47d6-bd2d-1f9df9247454/result_image/1583760444.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T021919Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=7f63e4d53c8579581c710f00f5ebcc0cd65fc51c08e32ee68b52c99aec38b939)
Work Step by Step
Please note that a sine function $y=A\sin (Bx-C)$ has amplitude $|A|$, period $\frac{2\pi }{B}$, and phase shift $\frac{C}{B}$. So the function $y=-3\sin (2\pi x+4\pi )$ has amplitude $|-3|=3$, period $\frac{2\pi }{2\pi }=1 $, and phase shift $\frac{- 4 \pi }{2\pi }=-2$.