Answer:
(-1,3)
Step-by-step explanation:
(refer to attached)
recall that the center-radius form of an equation of a circle is:
(x-h)² + (y-k)² = r²,
where (h,k) are the coordinates of the center of the circle.
In our case, we are given:
(x + 1)² +(y - 3)² = 25 we can do some factoring to obtain the following:
[x - (-1) ]² + (y - 3)² = 5²
if we compare this with our equation at the top, we can see that
h = -1 and k = 3
hence the center (h,k) is (-1,3)
