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?

2 answers

Centre of the original circle (-4,3)

(-4,3) reflected over y=-1 is (-4, -5)
Note; 3-(-1) = (-1)-(-5) = 4
So the image is
(x+4)²+(y+5)²=9
reflections