Question

A circle with the equation (x + 3)2 + (y - 2)2 = 25 is reflected over the line x = 2.

Answer 1

Center of the original circle = (-3, 2)
Line x = 2 is a vertical line and a refrection over a vertical line will keep the value of the y-coordinate.
The center of the original circle is five units to the left of the line x = 2 and the center of the image will be five units to the right of the line x = 2.
Hence, the center of the image will be (7, 2)
Therefore, the equation of the image is (x - 7)^2 + (y - 2)^2 = 25