Question

The center of the circle whose equation is (x + 2)² + (y - 3)² = 25 is

Answer 1

compare your
(x + 2)² + (y - 3)² = 25
to the general equation of a circle whose center is at (h,k) and radius is r:
(x-h)^2 + (y-k)^2 = r^2.

Determining the value of k is easy here; determining the value of h requires a bit more thought and work.