1. What Is Reflection Over X-Axis?

Reflection over the x-axis is a transformation that flips a point or shape across 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 preserves the horizontal position while inverting the vertical position relative to the x-axis.

3. Importance Of Reflection Calculation

Details: Understanding reflections is fundamental in geometry, computer graphics, physics, and engineering. It helps in analyzing symmetry and transforming shapes in coordinate systems.

4. Using The Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What happens to points on the x-axis during reflection?
A: Points on the x-axis (where y=0) remain unchanged because their reflection is themselves.

Q2: How does reflection differ from rotation?
A: Reflection flips points across an axis, while rotation turns points around a fixed center point.

Q3: Can this calculator handle decimal coordinates?
A: Yes, the calculator accepts and accurately processes decimal values for both x and y coordinates.

Q4: What are real-world applications of reflection?
A: Reflections are used in mirror imaging, computer graphics, architectural design, and understanding wave behavior in physics.

Q5: How does reflection over x-axis affect shapes?
A: It creates a mirror image of the shape below the x-axis (or above if the original was below), preserving horizontal measurements but inverting vertical ones.