Take it step by step, with a focus on the answer. The answer asks for the coordinate of A'.
A: (2,-2)
reflected across the Y-axis, the x coordinate switches sign, and the y coordinate is unchanged.
A is now (-2,-2).
Dilated by a factor of 3 from the origin is going to triple all the coordinates.
A is now (-6,-6)
Take the x coordinate
-6