Answer: Â The correct option is (B) Vertical translation of 10 units.
Step-by-step explanation: Â We are given to select the correct transformation that will map figure H onto figure H'.
From the graph, we note that
the co-ordinates of the vertices of figure H are (4, 7), (2, 6), (2, 3) and (7, 3).
And, the co-ordinates of the figure H' are (4, -3), (2, -4), (2, -7) and (7, -7).
We see that Â
(4, 7)   ⇒   (4, -3) = (4, 7-10),
(2, 6)   ⇒  (2, -4) = (2, 6-10),
(2, 3)   ⇒   (2, -7) = (2, 3-10)
and
(7, 3)   ⇒  (7,- 7) = (7, 3-10).
Therefore, there is a vertical translation of 10 units downwards.
Thus, option (B) is CORRECT.