Help can you please solve this.

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1. Find the center of the given circle
2. Reflect the center about the line y = -1 to get the center of the image triangle
3.The given circle and the image circle have equal radius

1. center of given circle is (- 4, 3)
2. Reflection about line y = -1
(x, y) = (x, 2(- 1)- y) = (x, -2 - y)
image center for is
(-4, -2-3) = (-4, -5)
The equation of image circle is
(x + 4)^2 + (y + 5)^2 = 9