Question

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

Answer 1

Answer:

The reflection image of P(0, 0) after two reflections is P'(8,-6).

Step-by-step explanation:

The given point is (0,0).

If a point reflect across x = 4, then

$(x,y)\rightarrow (-x+8,y)$

$(0,0)\rightarrow (-0+8,0)$

$(0,0)\rightarrow (8,0)$

If a point reflect across y = -3, then

$(x,y)\rightarrow (x,-y-6)$

$(8,0)\rightarrow (8,-0-6)$

$(8,0)\rightarrow (8,-6)$

Therefore the reflection image of P(0, 0) after two reflections is P'(8,-6).

Answer 2

Across x = 4 -> (8,0)

Across y = -3 -> (8,-6)