The given vertices are A(2, -2), B(-2, -2), and C(4,4).
The given transformation is
[tex]T_{(2,4)}(\Delta ABC)[/tex]This transformation means an addition of 2 units to x-coordinates and an addition of 4 to y-coordinates. So, the new transformations are
A'(2+2, -2+4) = A'(4, 2).
B'(-2+2, -2+4) = B'(0, 2)
C'(4+2, 4+4) = C'(6, 8).