Geometry

Question Analysis:
This problem examines the sequential application of three geometric transformations to a quadrilateral vertex, testing advanced understanding of coordinate transformations.

Key Concept Explanation:
Reflection over y = -x: (x, y) → (-y, -x)
Translation: (x, y) → (x + h, y + k) where h = 3 (right), k = 5 (up)
Reflection over y = b: (x, y) → (x, 2b - y)

Step-by-Step Solution:
Original point Q: (5,7)
First transformation (reflect over y = -x): (-7, -5)
Second transformation (translate): (-7 + 3, -5 + 5) = (-4, 0)
Third transformation (reflect over y = 6): (-4, 2(6) - 0) = (-4, 12)

Common Mistakes:
Forgetting to change both signs in y = -x reflection
Miscalcul...