Geometry

Question Analysis:
This problem examines sequential geometric transformations including reflections and translation, testing comprehensive understanding of coordinate geometry rules.

Key Concept Explanation:
The solution requires applying three distinct transformations in order:
Reflection across y = -x: (x, y) → (-y, -x)
Translation: (x, y) → (x + h,y + k) where h = 4, k = 1
y-axis reflection: (x, y) → (-x, y)

Step-by-Step Solution:
Initial reflection (y = -x): (2, -3) → (3, -2)
Translation: (3, -2) → (3 + 4, -2 + 1) = (7, -1)
Final reflection (y-axis): (7, -1) → (-7, -1)

Common Mistakes:
Applying transformations in wrong order
Forgetting to negate coordinates in reflections