Geometry

Question Analysis:
This problem examines sequential application of three distinct transformations, with primary focus on the y = -x reflection as the initial operation.

Key Concept Explanation:
The solution requires:
Perfect recall of reflection rules (y = -x and x-axis)
Precise application of horizontal translation
Maintaining proper order of operations
Careful sign management throughout transformations

Step-by-Step Solution:
First transformation (y = -x reflection): (3, -2) → (2, -3)
Second transformation (translation right 5): (2, -3) → (7, -3)
Final transformation (x-axis reflection): (7, -3) → (7, 3)

Common Mistakes:
Misapplying y = -x reflection as (x, y)→(-x, -y) without swapping
Subtracting instead of adding for right translation
Forgetting to negate y-co...