Representing transformations in a plane

Question

A chess player moves a knight from the location (3,2) to (5,1) on a chessboard. if the bottom -left square is labeled (1,1) the translation is made. if the player moves the knight from (5,1) to (6,3) the translation made is

Answer 1

For the x translation: 3 to 5 is +2

For the y translation: 2 to 1 is -1.

Translation is (x+2, y-1) or two right, one down, since the bottom left is (1,1).

Similar deal for the second move. 1 right, 2 up.