Answer:
(3, –12)
Explanation:
The coordinates of the original triangle are
A(-2, -2), B(1, -5) and C(-5, -5).
The transformation is a translation of 2 units to the right side and 7 units downside. Applying the rule in each coordinate, we have
A'(-2+2 , -2-7) = A'(0, -9)
B'(1+2 , -5-7) = B'(3, -12)
C'(-5+2 , -5-7) = C'(-3 , -12)
Therefore, the coordinates of vertex B' are (3, -12), so the right answer is the last choice.