Explanation:
The notation [tex]T_{-3,5}(x,y)[/tex] Â or means to move any point (x,y) along the vector <-3,5>. Put another way, it says to shift (x,y) three units to the left and five units up. The x portion deals with left or right shifting, the y portion deals with up or down shifting. Since the x portion is negative, we go in the negative direction on the x axis. Y being positive means we move up rather than down.
This all means we end up with the translation rule [tex](x,y) \to (x-3,y+5)[/tex]