Question

I don't get it !!?

Answer 1

Answer:  The correct option is (B) Vertical translation of 10 units.

Step-by-step explanation:  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  

(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.

Answer 2

For this kind of questions, what you can do is to find a point on the figure and see what translations it does.

For example, you can find the point (4,2) on the figure H. And then look at each choices to see if the statement is correct.

For this question, the answer is B. The point (4,2) finally change to the (4,-8) on the figure H'. It has a vertical translation of 10 units down.