Geometry

Question Analysis:
This question involves a sequence of three rigid motions: reflection, rotation, and translation of a coordinate point.
The main focus is on accurately applying transformations in the correct order.

Key Concept Explanation:
Reflect over y-axis → (x, y) → (−x, y)
Rotate 90° counterclockwise → (x, y) → (−y, x)
Translate right 3, up 4 → (x + 3, y + 4)

Step-by-Step Solution:
Start: B(4, −2)
Reflect over y-axis: (4, −2) → (−4, −2)
Rotate 90° CCW about origin: (−4, −2) → (2, −4)
Translate 3 units right and 4 units up: (2 + 3, −4 + 4) = (5, 0) ✅

Option Analysis:
A. (5, 0) ✅ Correct
B. (0, 5) ❌ swap...