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.
