what are the coordinates of the image after a transformation of (x,y)-->(x-3,y+7) ? A(2,5) B(6,-10) C( -12, 15)

Answer :

Applying the translation rule, the coordinates are:

  • A'(-1,12).
  • B'(3, -3).
  • C'(-15, 22).

The translation rule is:

[tex](x,y) \rightarrow (x - 3, y + 7)[/tex]

Thus, for the image, the transformation is applied for each coordinate. Then:

[tex]A' = (2 - 3, 5 + 7) = (-1, 12)[/tex]

[tex]B' = (6 - 3, -10 + 7) = (3, -3)[/tex]

[tex]C' = (-12 - 3, 15 + 7) = (-15, 22)[/tex]

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