Geometry

Question Analysis:
This question requires interpreting a final transformation rule and identifying its component transformations.
The focus is on breaking down composite rules algebraically.

Key Concept Explanation:
Reflection over origin = rotation 180° → (x, y) → (−x, −y)
Then apply translation: (−x, −y) → (−x + 4, −y − 1)

Step-by-Step Solution:
Apply reflection over origin: (x, y) → (−x, −y)
Then translate x by +4, y by −1: → (−x + 4, −y − 1) ✅

Option Analysis:
A: matches the rule ✅
B: reflection over y-axis changes x only — doesn’t match
C: “both axes” = origin reflection is fine, b...