1. What is Reflection Over X Axis?

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

2. How Does the Calculator Work?

The calculator uses the reflection formula:

Where:

• \( y \) — Original y-coordinate value
• \( y' \) — Reflected y-coordinate value over x-axis

Explanation: The reflection transformation simply negates the y-coordinate while keeping the x-coordinate unchanged.

3. Importance of Reflection Calculation

Details: Reflection calculations are fundamental in geometry, computer graphics, physics, and engineering for modeling symmetric properties and transformations.

4. Using the Calculator

Tips: Enter the y-coordinate value. The calculator will compute the reflected value over the x-axis.

5. Frequently Asked Questions (FAQ)

Q1: What happens to the x-coordinate during x-axis reflection?
A: The x-coordinate remains unchanged. Only the y-coordinate is negated.

Q2: Can this calculator handle negative values?
A: Yes, the calculator works with both positive and negative y-values.

Q3: How is this different from reflection over y-axis?
A: Reflection over y-axis negates the x-coordinate while keeping y-coordinate unchanged.

Q4: What are practical applications of reflection transformations?
A: Used in computer graphics, mirror imaging, architectural design, and physics simulations.

Q5: Can this be applied to entire functions?
A: Yes, reflecting a function f(x) over x-axis gives -f(x).