Answer:
P:(1,-2) Q: (4, -2) S:(1, 8) R:(4, -6)
Reflect over y axis, so you multiply the x coordinate of each point by -1.
P:(-1,-2) Q: (-4, -2) S:(-1, -8) R:(-4, -6)
Rotate 180 degrees about the origin, so multiply both x and y coordinate of each point by -1.
P:(1,2) Q: (4, 2) S:(1, 8) R:(4, 6)
Translate each point by 0 units on the x axis, and -8 units by the y axis. Apply that arithmetic to the x and y coordinates of the points.
P:(1,-6) Q: (4, -6) S:(1, 0) R:(4, -2)