The given coordinates for quad ABCD are
A(-2,2), B(-2,4), C(2,4) and D(2,2).
The transformation (x-3, y+4) creates the following coordinates for the transformed quad.
A'(-5, 6), B'(-5, 8), C'(-1, 8) and D'(-1, 6).
The diagram that is shown below displays both quadrilaterals.
It indicates that
(a) both quadrilaterals are rectangles, and
(b) the transformation is a translation that preserves the shapes of the rectangles.