The point P \equal{} (1,2,3) is reflected in the xy-plane, then its image Q is rotated by 180ā 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?
(A)\ (1,7, \minus{} 3) \qquad (B)\ ( \minus{} 1,7, \minus{} 3) \qquad (C)\ ( \minus{} 1, \minus{} 2,8) \qquad (D)\ ( \minus{} 1,3,3) \qquad (E)\ (1,3,3) rotationanalytic geometrygeometrygeometric transformationreflectionlinear algebramatrix