C(5,-2) is translated using the rule (x-3,y+4) what are the coordinates for the new point?

This question is essentially telling you to move the point (5, -2) over three units, and up four units. That means subtract three units from the x-coordinate and add four units to the y-coordinate. So (5 - 3, -2 + 4) --> (2, 2). The coordinates for the new point are (2, 2).

(1,2). the reason is, is because if you plot the point (5,-2) and move the point from the formula, (x-3,y+4) your plot will end up to (1,2).