ANSWER
A'(7, 2)
B'(2, 5)
C'(5, 8)
Step-by-step explanation
The vertices of ABC are A(4, -4), B(-1, -1) and C(2, 2).
The translation is given as T(3, 6).
This simply means that the triangle was translated 3 units to the right and 6 units up.
Therefore, we will add 3 to each x cordinate and 6 to each y cordinate.
=> A(4, -4) becomes A'(4 + 3, -4 + 6) => A'(7, 2)
=> B(-1, -1) becomes B'(-1 + 3, -1 + 6) => B'(2, 5)
=> C(2, 2) becomes C'(2 + 3, 2 + 6) => C'(5, 8)
Those are the cordinates of A'B'C'.