Answer: The correct option is
(B) (4, -2).
Step-by-step explanation: Given that the triangle DEF is translated units down.
We are to find the co-ordinates of point E' in the image.
From the graph, we note that
the co-ordinates of the vertices of triangle DEF are D(1, 2), E(4, 3) and F(3, 1).
We know that
if a point (x, y) is translated 5 units down, then its co-ordinates becomes
(x, y) → (x, y-5).
Therefore, after translation, the co-ordinates of the vertex E' in the image are
E(4, 3) → E'(4, 3-5) = E'(4, -2).
Thus, (B) is the correct option.