2000 AMC 12 Problem 10

The point P = (1,2,3) is reflected in the xy-plane, then its image Q is rotated 180^\circ about the x-axis to produce R, and finally, R is translated 5 units in the positive-y direction to produce S. What are the coordinates of S?

\textbf {(A) } (1,7, - 3) \qquad \textbf {(B) } ( - 1,7, - 3) \qquad \textbf {(C) } ( - 1, - 2,8) \qquad \textbf {(D) } ( - 1,3,3) \qquad \textbf {(E) } (1,3,3)

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.