$C(-1,4), r=5$. See graph. Domain $[-6,4]$ and Range $[-1,9]$ .
Work Step by Step
Step 1. Given the equation $(x+1)^2+(y-4)^2=25$, comparing with the standard form for a circle, we can identify the center and radius of the circle as $C(-1,4), r=5$. Step 2. See graph for the equation as shown in the figure. Step 3. Based on the graph, we can identify: Domain $[-6,4]$ and Range $[-1,9]$.