Answer
$y = -1+\frac{1}{2}sin~x$
We can see the graph below.
The period is $2\pi$
The amplitude is $0.5$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/a2505965-94b7-448e-9846-8fe3b06b0eab/result_image/1531308675.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T002050Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=4417e704c23f5c295ee7cd512f9131e1979b811a906d887eca508bab158ed920)
Work Step by Step
$y = -1+\frac{1}{2}sin~x$
When $x = 0$, then $y = -1+\frac{1}{2}sin~0 = -1$
When $x = \frac{\pi}{2}$, then $y = -1+\frac{1}{2}sin ~\frac{\pi}{2} = -0.5$
When $x = \pi$, then $y = -1+\frac{1}{2}sin~\pi = -1$
When $x = \frac{3\pi}{2}$, then $y = -1+\frac{1}{2}sin~\frac{3\pi}{2} = -1.5$
When $x = 2\pi$, then $y = -1+\frac{1}{2}sin~2\pi = -1$
We can see the graph below.
The period is $2\pi$
The amplitude is $0.5$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/a2505965-94b7-448e-9846-8fe3b06b0eab/steps_image/small_1531308675.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T002050Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=754c86099c4026d69118d92591bf1ece8adc8c8a8f585b35d80472964cedf4ea)