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

Question

asked Nov 1, 2018 204k views

2 Answers

Pejuko · Answer 1 · 2018-11-07T16:27:11+0000

Answer:

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

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).