Think of a point in Quadrant 1.
For example, think of point (1, 1).
If you reflect it over the y-axis, the reflection will be the same distance from the y-axis, in Quadrant 2. The coordinates of the reflection are (-1, 1).
What changed from (1, 1) to (-1, 1)?
The only change is the x-coordinate became its reciprocal.
That means in this problem, each point changes by replacing the x-coordinate by its reciprocal.
(2, -3) becomes (-2, -3)
(6, -6) becomes (-6, -6)
(6, -8) becomes (-6, -8)
Answer: The new vertices are: (-2, -3), (-6, -6), (-6, -8)