Answer:
The correct option is;
(4, 8)
Step-by-step explanation:
The vertices of the figure EFGHK can be presented here as follows;
E(3, -4), F(5, 1), G(3, 5), and H(-4, 3)
The transformation of figure EFGHK to figure E'F'G'H'K' is according to the rule (x, y) → (x + 8, y + 5)
Therefore, given that coordinates of the vertex H is (-4, 3), the method of the finding of the coordinates of the image after the transformation can be present as follows;
H(-4, 3) → H'(-4 + 8, 3 + 5) = H'(4, 8)
The coordinates that will best represent point H' is (4, 8).