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To find the preimage of the point (1, 1) under the translation (x, y)→(x+3, y−3), we need to reverse the translation by subtracting 3 from the x-coordinate and adding 3 to the y-coordinate.
So, the preimage of the point (1, 1) would be:
(1−3, 1+3)
=(-2, 4)