(x , y → (x - 5, y - 3)
the coordinates of S(1 , 5),T(1,1), U(4, 1)
the coordinates of the image are S'( - 4, 2), T'( - 4, - 2), U'( - 1 , - 2)
consider the difference in the x- coordinates of the original to the image
1 → - 4 = - 5, 1 → - 4 = - 5, 4 → - 1 = - 5
so the x- coordinate rule is x - 5
now consider the difference in the y- coordinates of the original to the image.
5 → 2 = - 3, 1 → - 2 = - 3, 1 → - 2 = -3
so the y- coordinate rule is y - 3
hence (x, y) → (x - 5, y - 3)
