Question

Write the standard equation of the circle in the graph.

Answer 1

B is the answer (x - 3)² +  (y + 2)² = 9

Answer 2

We know that
the equation of a circle is
(x-h)²+(y-k)²=r²
where
(h,k) is the center
and
r is the radius

in this problem
the center is the point (3,-2)
and the radius is r=3
so
(x-h)²+(y-k)²=r²-----> (x-3)²+(y+2)²=3²

therefore 

the answer is 
b. (x - 3)² + (y + 2)² = 9