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
[tex](x,y)\rightarrow (-x+8,y)[/tex]
[tex](0,0)\rightarrow (-0+8,0)[/tex]
[tex](0,0)\rightarrow (8,0)[/tex]
If a point reflect across y = -3, then
[tex](x,y)\rightarrow (x,-y-6)[/tex]
[tex](8,0)\rightarrow (8,-0-6)[/tex]
[tex](8,0)\rightarrow (8,-6)[/tex]
Therefore the reflection image of P(0, 0) after two reflections is P'(8,-6).
