Explanation:
Equation of a circle
(x-h)^2 + (y-k)^2 = r^2
so the given circle has center at (h,k) = (5,-10)
new circle center will be at x = 1 left of 5 = 4 y = 2 down from -10 = -12
(4,-12)
Equation then becomes (x-4)^2 + ( y+ 12)^2 = 64
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