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

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

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.