Question

Find the coordinates for the center for this circle.

(x + 3)2 + (y - 5)2 = 25
03-5)
(-3.5)
(-5,3)

Answer 1

C. (-3, 5)

Explanation:

The equation of a circle with center (h, k) and radius r is

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

You have

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

which can be rewritten as

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

from which you see that the center of the radius is the point (-3, 5), and the radius is 5.

Answer: C. (-3, 5)