Answer:
(x + 4)2 + (y + 6)2 = 9 is the equation of this circle.
Step-by-step explanation:
The standard equation of a circle with center (h, k) and radius r is
(x-h)^2 + (y-k)^2 = r^2. Please use " ^ " for exponentiation.
We can immediately discard the 1st and 3rd answers, since the radius squared is 3^2, or 9.
Comparing
(x - h)^2 + (y-k)^2 = r^2 to
(x + 4)2 + (y + 6)2 = 9 shows that h = -4 and k = -6, as well as r = 3.
Therefore, (x + 4)2 + (y + 6)2 = 9 is the equation of this circle.