The point P=(1,2,3) is reflected in the x y-plane, then its image Q is rotated by 180^{\circ} about the x-axis to produce R, and finally, R is translated by 5 units in the positive- y direction to produce S. What are the coordinates of S ?
Answer Choices
A. (1,7,-3)
B. (-1,7,-3)
C. (-1,-2,8)
D. (-1,3,3)
E. (1,3,3)