Answer
The graph is attached.
Work Step by Step
We know that the sine and cosine functions are given in the form $y=acos(bx-c)+k$ and $y=asin(bx-c)+k$. In both equations, $a$ is the amplitude, and $\frac{2\pi}{b}$ is the period. We also know that $k$ is the number of units the graph is shifted up by, and $c$ is the number of units the graph is shifted right by. (Pay close attention to the sign of $c$.) Knowing this, we create the graph.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/dafad758-0aa2-412f-a459-0e3fc5922bc9/steps_image/small_1561503537.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T015926Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=29b745135629c547c1ded958cbfa32aac86f4e0047aac98f505bb3ab8f0b3aee)