Answer
$C(-2,3), r=3$
See graph.
domain $[-5,1]$, range $[0,6]$.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/868ede78-54d7-4167-8703-109a06a6406c/result_image/1581366862.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001405Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=3b71f717c72fc85aec707164e9915ea487415bea8d458d4efa0e8e34ae4196ef)
Work Step by Step
Step 1. Rewrite the equation as $(x-(-2))^2+(y-3)^2=(3)^2$; we can identify the center and radius as $C(-2,3), r=3$
Step 2. See graph.
Step 3. We can identify the domain as $[-5,1]$ and range as $[0,6]$.