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A circle with the equation (x + 4)2 + (y - 3)2 = 9 is reflected over the line y = -1. What is the equation of the image?

(x - 2)2 + (y - 3)2 = 9
(x + 4)2 + (y - 5)2 = 9
(x + 4)2 + (y + 5)2 = 9
(x - 2)2 + (y + 5)2 = 9

Respuesta :

The center of the given circle  = (-4, 3)
So the center of the image  = (-4, 3 -2(4)  =  (-4, -5)

So the equation of the image  is
(x + 4)^2 + (y + 5)^2 = 9

Its  choice 3.

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