Answer:
A. T–4, 3(x, y)
Step-by-step explanation:
We are given that the transformation changes the rectangle ABCD to the rectangle A'B'C'D'.
The changes in the co-ordinates are given by,
A = (-6,-2) = (-6,-2) + (-4,3) = (-10,1)
B = (-3,-2) = (-3,-2) + (-4,3) = (-7,-1)
C = (-3,-6) = (-3,-6) + (-4,3) = (-7,-3)
D = (-6,-6) = (-6,-6) + (-4,3) = (-10,-3)
So, we see that the rectangle ABCD is transformed by the co-ordinates (-4,3).
That is, it is translated 4 units to the left and 3 units upwards.
Thus, option A is correct.