Answer
See below
Work Step by Step
Given: $(x-2)^2+(y-7)^2=9$
Compare the given equation to the standard form of an equation of a circle. You can see that the graph is a circle with its center at $(h,k)=(2,7)$ and radius $r=3$.
Plot the center. Then plot several points that are each 2 units from the center: $(2,10);(0,9.236);(0,4.764);(2,4)$
Draw a circle through the points.