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Translations

Triangle ABC is to be translated 3 units to the left and 5 units up.

It means all of the coordinates of its vertices are translated by the same amount.

The coordinates of A are (2,-2).

If we translate 3 units to the left we must subtract 3 to the x-coordinate

If we translate 5 units up we must add 5 to the y-coordinate.

Thus, the coordinates of A' are (2-3,-2+5) = (-1,3)

A' = (-1,3)