Question

1)which equation represents a circle whose center is (3 -2)
2)which graph represents a circle with the equation (x-5)2+(y+1)2=9

Answer 1

The equation of a circle is
\[(x-h)^2 + (y-k)^2 = r^2\]
Where h and k are the coordinates (h, k) of the center of the circle and r is the radius of the circle.

With the (3, -2) you're given what is the equation of the circle?

Answer 2

there is four choices are
(x+3)2+(y-2)2=4

Answer 3

(3, -2) -> (h, k)
So

h = 3
k = -2

Try putting these values in the equation I gave you