Geometry

Question Analysis:
This problem examines three consecutive transformations of a point, focusing on reflection across y = -x as the key operation, followed by translation and x-axis reflection.

Key Concept Explanation:
The solution requires understanding of:
Reflection rule for y = -x: (x, y) → (-y, -x)
Translation rule: (x, y) → (x + h, y + k) where h = -4, k = -1
x-axis reflection rule: (x, y) → (x, -y)

Step-by-Step Solution:
First transformation (y = -x reflection): (2, -3) → (3, -2)
Second transformation (translation left 4, down 1): (3, -2) → (-1, -3)
Final transformation (x-axis reflection): (-1, -3) → (-1, 3)

Common Mistakes:
Forgetting to swap coordinates in y = -x reflection
Adding instead of subtracting for left/down translation
Neglecting to change y-sig...