"translated 5 units up" means y becomes y+5. We just add 5 to whatever the y coordinate is to shift the point 5 units up.
To shift 3 units left, we subtract 3 from whatever the x coordinate value is. So we go from x to x-3.
Put this together and the translation rule is [tex](x,y) \to (x-3, y+5)[/tex]
