Question

Find the image of A(4, -2) after it is reflected over the line y = 2, then reflected over the line x = 2.

(-8, 6)
(0, -2)
(0, 6)
(-8, -2)

Answer 1

anybody know?

Answer 2

The rule for reflection about the line y=y0 is
(x,y) -> (x, 2y0-y)
which means x does not change, y coordinate changes from y to 2*y0-y.
For example: when point (5,3) is reflected about y=4
(5,3) -> (5, 2*4-3) or (5,5)

You can work out similarly for reflection about x=x0.