Geometry

Question Analysis:
This question focuses on recognizing a composite transformation rule involving reflection and translation.

Key Concept Explanation:
Reflection over y-axis: (x, y) → (−x, y)
Then translate: x → x + 5 (right 5), y → y − 3 (down 3)
 → Final rule: (−x + 5, y − 3)

Step-by-Step Solution:
Start with (x, y)
→ Reflect over y-axis → (−x, y)
→ Translate x + 5, y − 3 → (−x + 5, y − 3) ✅

Option Analysis:
A: reflection over x-axis changes y, not x ❌
B: correct ✅
C: origin reflection ...