Question

find the center of the circle with equation (x-3)^2 +(y+4)^2 =25

Answer 1

i think the center coordinate is (3,-4)

Answer 2

ok well you know that if you look at the center of the circle that means the radius at the center has to be 0 right?

so how do you get the radius 0 with the equation (x-3)^2 + (y+4)^2

you only get 0 if x = 3 and y = -4

so the coordinate of the center of the circle is (3, -4)