Answer: The correct option is
(A) Horizontal translation of 11 units.
Step-by-step explanation: We are given to select the correct transformation that will map figure Q onto figure Q' in the picture shown.
From the figure, we note that
the co-ordinates of the vertices of figure Q are (-9, 3), (-2, 3), (-4, 5) and (-6, 5).
And, the co-ordinates of the vertices of figure Q' are (2, 3), (9, 3), (7, 5) and (5, 5).
We see the following translation in the co-ordinates of the vertices of figure Q and Q' :
(-9, 3) ⇒ (-9+11, 3) = (2, 3),
(-2, 3) ⇒ (-2+11, 3) = (9, 3),
(-4, 5) ⇒ (-4+11, 5) = (7, 5)
and
(-6, 5) ⇒ (-6+11, 5) = (5, 5).
Therefore, the required translation is written as
(x, y) ⇒ (x+11, y), which is the horizontal translation of 11 units.
Thus, option (A) is CORRECT.
