We will have the following:
First, we can see that the points are:
A(1, -2)
B(2, -5)
C(5, 2)
D(3, -1)
Now, applying the transformation rule (x, y) -> (x-5, y) we will have the points:
A'(-4, -2)
B'(-3, -5)
C'(0, 2)
D'(-2, -1)
So, the transformation is: