Answer: B. [tex](x-3)^2+(y+2)^2=9[/tex]
Step-by-step explanation:
From the given graph, it can be seen that the center of circle lies at (3,-2).
Radius = distance from the center to the boundary of circle.
=|3-0|=3 units
Standard equation of circle :
[tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is center and r is the radius of the circle.
Then , standard equation of the circle in the graph (having center (3,-2) and radius = 3 units)
[tex](x-3)^2+(y-(-2))^2=(3)^2[/tex]
[tex](x-3)^2+(y+2)^2=9[/tex]
