Question

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Answer 1

9514 1404 393

Answer:

  (16, -23)

Step-by-step explanation:

We assume your notation means the figure is dilated by a factor of 3 with the origin as the center of dilation, then it is translated 2 units left and 4 units up.

These transformations can be written as ...

  (x, y) ⇒ (3x, 3y) . . . . . . . dilation by a factor of 3 about the origin

  (x, y) ⇒ (x -2, y +4) . . . . translation by (-2, 4)

These two transformations together give you ...

  (x, y) ⇒ (3x -2, 3y +4)

  (6, -9) ⇒ (3·6 -2, 3(-9) +4) = (18 -2, -27 +4) = (16, -23)

The point is transformed to (16, -23).