1. What Is Reflection Over Y Axis?

Reflection over the y-axis is a geometric transformation that flips a point or shape across the y-axis. The x-coordinate changes sign while the y-coordinate remains unchanged.

2. How Does The Calculator Work?

The calculator uses the reflection formula:

Where:

• \( x \) — Original x-coordinate
• \( y \) — Original y-coordinate
• \( -x \) — Reflected x-coordinate
• \( y \) — Unchanged y-coordinate

Explanation: This transformation creates a mirror image of the original point across the vertical y-axis.

3. Importance Of Reflection Calculation

Details: Understanding reflections is fundamental in geometry, computer graphics, physics, and engineering applications where symmetry and transformations are important.

4. Using The Calculator

Tips: Enter the x and y coordinates of your point. The calculator will instantly compute and display the reflected coordinates.

5. Frequently Asked Questions (FAQ)

Q1: What happens to the coordinates during reflection over y-axis?
A: The x-coordinate changes sign (positive becomes negative, negative becomes positive) while the y-coordinate remains unchanged.

Q2: How is this different from reflection over x-axis?
A: Reflection over x-axis changes the y-coordinate's sign while keeping x-coordinate unchanged: (x, y) → (x, -y).

Q3: Can this calculator handle decimal coordinates?
A: Yes, the calculator accepts and processes decimal values with precision.

Q4: What are some real-world applications of reflection?
A: Reflections are used in mirror imaging, computer graphics, architectural design, and various symmetry-based calculations.

Q5: Does time affect the reflection calculation?
A: No, reflection is an instantaneous geometric transformation and time is not a factor in the basic calculation.