Verified answer

The equation of a circle is

(x - h)^2 + (y - k)^2 = r^2

Where

(h,k) is the center of the circle and r is the radius

(x - 3)^2 + (y + 3)^2 = 36

is the same as

(x - 3)^2 + (y - (-3))^2 = 6^2

So the center (h,k) = (3,-3)

The radius is 6

The equation of the circle with center (h, k) and radius r is (x - h)^2 + (y - k)^2 = r^2.

Center (3, –3), radius 6