Answer:
D. (4, -12)
Explanation:
Given the equation of a circle is (x -4)² +(y +12)² = 17², you want to know the center.
Circle
The equation of a circle centered at (h, k) with radius r is ...
(x -h)² +(y -k)² = r²
Comparing this to the given equation, we can identify the values of the parameters as ...
(x -4)² +(y +12)² = 17²
h = 4, -k = 12, r = 17 . . . . . k = -12
This tells us the center is ...
(h, k) = (4, -12) . . . . . matches choice D
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