ZendayaQ389385 ZendayaQ389385
  • 04-11-2022
  • Mathematics
contestada

What transformation moves R (r (P)) back to P, given that R(x, y) = (-2, -y) and r (x, y) = (x, -y)?

Respuesta :

KhodiZ436813 KhodiZ436813
  • 04-11-2022

First, find where would the point P(x,y) would land after applying the transformatios r and R:

[tex]R(r(P))=R(r(x,y))=R(x,-y)=(-x,y)[/tex]

Notice that it would be enough to flip the sign of the first coordinate to send (-x,y) back to (x,y).

Then, the transformation that moves R(r(P)) back to P is:

[tex](x,y)\rightarrow(-x,y)[/tex]

Therefore, the answer is:

[tex](-x,y)[/tex]

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