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Answer:
 (x +6)^2 +(y -4)^2 = 36
Explanation:
The center is (-6, 4) and the radius is 6. Putting those into the standard form equation, you have ...
 (x -h)^2 +(y -k)^2 = r^2 . . . . . . center (h, k), radius r
 (x -(-6))^2 +(y -4)^2 = 6^2 . . . . numbers filled in
 (x +6)^2 +(y -4)^2 = 36 . . . . . . cleaned up a bit