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Sagot :

Answer: Choice D.  (6,12)

Explanation:

The translation [tex](x,y) \to (x+1,y-1)[/tex] tells us to add 1 to the x coordinate and subtract 1 from the y coordinate.

For point R(1,5) we'll arrive at R'(2,4) after applying that translation or shifting mentioned. We have moved the point 1 unit to the right and 1 unit down.

Now apply the dilation with a scale factor of 3, centered at the origin. Basically it means we triple each coordinate. We'll go from R'(2,4) to R''(6,12)