Question

(–2, –3) is the image produced by applying the composition T -2.4 rx to a point. What are the coordinates of the preimage?

A.
(0, –1)
B.
(0, 1)
C.
(3, 4)
D.
(0, 7)

Answer 1

D. (0,7)

Explanation:

We are given that,

The point (-2,-3) is transformed by the composition
`T_(-2,-4)\circ R_(x)`.

That is, the point is first reflected across x-axis and then translated 2 units to the left and 4 units up.

So, the rule for the transformation is (x,y) → (x,-y) → (x+2,-y+4)

Thus, the image of (-2,-3) is given by,

(-2,-3) → (-2,3) → (-2+2,3+4) = (0,7)

That is, the image of (-2,-3) after transformation is (0,7).

So, option D is correct.