The coordinates of polygon ABCD are:
A(4,3) B(4,0) C(-1, 1) D(-1, 4)
and
The coordinates of the transformed polygon A'B'C'D' are:
A'(1, 1) B'(1, -2) C'(-4,-1) D'(-4, 2)
To understand the transformed rule, just remove the coordinates of the actual polygon from the transformed polygon.
A' - A = (1, 1) - (4, 3) = (1 - 4, 1 - 3) = (-3, -2)
Similarly,
B' - B = (1, -2) - (4, 0) = (1 - 4, -2 - 0) = (-3, 2)
The same result will be obtained from other points (C and D). Therefore, the first option (-3, 2) is correct.
