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?

Answer 1

(–2, –3) is the image produced by applying the composition T -2.4 rx to a point. The coordinates of the image is (0, 7). The answer is letter D

Answer 2

Answer:

D. (0,7)

Step-by-step 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.