Answer:
The reflection image of P(0, 0) after two reflections is (8,-6)
Explanation:
step 1
Find the coordinates of point P after reflection across x=4
we know that
The distance from point P to the line x=4 is equal to 4 units
so
(0,0) -----> (4+4,0) ----> (8,0)
The reflection image of P is (8,0)
step 2
Find the coordinates of point (8,0) after reflection across y=-3
The distance from point (8,0) to the line y=-3 is equal to 3 units
so
(8,0) -----> (8,-3-3) ----> (8,-6)