Atransformation t: (x, y) (x-5,y+3) the image of a(2,-1) is

According to the transformation, the image of (x,y) is (x-5, y+3). Therefore, plug in the coordinates of A, or x=2, y=-1 into (x-5, y+3), and the image of A is (2-5, -1+3)=(-3, 2).