Question

What is the reflection image of P(0, 0) after two reflections, first across x = -3 and then across y = 4? (-8, -6) (4, -6) (4, -3) (-6, 8)

Answer 1

(-6,8)

Explanation:

Plot the point P(0,0) and draw the vertical line x=-3.

If point P is reflected across this vertical line, then the image point B has coordinates (-6,0).

Draw horizontal line y=4. If point B is reflected across this horizontal line, then the image point C has coordinates (-6,8) (see attached diagram for details).