Find the center and radius of (x + 9) ^2 + (y + 6) ^2 = 9.

a:

(-6, 9); 3

b:

(-9, - 6); 3

c:

(9, 6); 3

d:

(-6, - 9); 9

To find the center solve for x and y:

x + 9 = 0

x = - 9

y + 6 = 0

y = - 6

So the center is (-9, - 6).

The radius is the square root of 9, which is 3.

So the answer is Option B.

You can do this by comparing your equation to the general form of equation of a circle

(x - a) ^2 + (y - b) ^2 = r^2 where (a, b) is the centre and r = radius:-

(x + 9) ^2 (y + 6) ^2 = 9

so (a, b) = (-9,-6) and r = 3

so the answer is B