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sqdancefan

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Answer:

  (x, y) ⇒ (x -5, y +3)

Step-by-step explanation:

Pick a point on the original polygon. The extreme left point (at (1, 0)) will do.

Locate the corresponding image point on ABCDE. (It is point B(-4, 3).) Using coordinates, or counting grid squares, determine what must be added to the original point to get the image point.

Here, that addition is 5 squares left and 3 squares up:

  image - original = (-4, 3) -(1, 0) = (-5, 0)

So, the transformation rule adds -5 to each x-coordinate and 3 to each y-coordinate:

   (x, y) ⇒ (x -5, y +3)

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