1. What is Reflection Across X Axis?

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

2. How Does the Calculator Work?

The calculator uses the reflection formula:

Where:

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

Explanation: The reflection transformation preserves the x-coordinate while inverting the y-coordinate across the x-axis.

3. Importance of Reflection Calculation

Details: Reflection calculations are fundamental in geometry, computer graphics, physics, and engineering for understanding symmetry and transformations.

4. Using the Calculator

Tips: Enter the x and y coordinates of the point you want to reflect. The calculator will compute the reflected coordinates instantly.

5. Frequently Asked Questions (FAQ)

Q1: What happens to the x-coordinate during reflection across x-axis?
A: The x-coordinate remains unchanged during reflection across the x-axis.

Q2: How does reflection affect the distance from the axis?
A: The distance from the x-axis remains the same, but the point moves to the opposite side of the axis.

Q3: Can this calculator handle decimal coordinates?
A: Yes, the calculator supports both integer and decimal coordinate values.

Q4: What's the difference between reflection across x-axis and y-axis?
A: Reflection across x-axis changes the sign of y-coordinate, while reflection across y-axis changes the sign of x-coordinate.

Q5: Are there real-world applications of reflection transformations?
A: Yes, reflection transformations are used in mirror imaging, computer graphics, architectural design, and physics simulations.