The point D(3,2) is translated so that (x,y) translates (x+2, y-3) and then reflected in the y-axis. Find the coordinates of its image, D'.

Question

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Answer 1

translating (x+2, y-3) will add 2 to the x-coordinate of D and subtract 3 from the y-coordinate of D, so that D(3,2) becomes D'(5,-1).

Reflecting D' across the y-axis will negate the x-coordinate and leave the y-coordinate alone so that D'(5,-1) becomes D'(-5,-1).