Question

Could someone give me an answer and explain how you got it ?

Answer 1

A (9, 3)

Explanation:

First the point is rotated 90° counterclockwise about the origin. To do that transformation: (x, y) → (-y, x).

So S(-3, -5) becomes S'(5, -3).

Next, the point is translated +4 units in the x direction and +6 units in the y direction.

So S'(5, -3) becomes S"(9, 3).