Question

Find the coordinates of the center of the given circle.

(x - 5)2 + (y + 3)2 = 25

Answer 1

this equation is in the form:
\[\Large{
(x-h)^2+(y-k)^2=radius^2
}\]
where (h,k) is the center
but notice you have (y+3) so to get the real coordinate you rewrite it as
(y-(-3), then the center is (5, -3)