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. For any point (x, y), its reflection across the x-axis is (x, -y). This calculator specifically calculates the y-value reflection.

2. How Does the Calculator Work?

The calculator uses the reflection formula:

Where:

• Original — The original y-value to be reflected
• Reflected — The resulting y-value after reflection

Explanation: Reflection across the x-axis changes the sign of the y-coordinate while keeping the x-coordinate unchanged.

3. Applications of Reflection

Details: Reflection transformations are fundamental in computer graphics, physics, engineering, and mathematics. They're used in symmetry analysis, signal processing, and geometric transformations.

4. Using the Calculator

Tips: Enter any numerical value in the original field. The calculator will compute and display the reflected value across the x-axis.

5. Frequently Asked Questions (FAQ)

Q1: What happens to x-coordinates in x-axis reflection?
A: X-coordinates remain unchanged in x-axis reflection. Only the y-coordinates change sign.

Q2: Can this calculator handle complex numbers?
A: This calculator works with real numbers. For complex numbers, both real and imaginary parts would need reflection.

Q3: How is reflection different from rotation?
A: Reflection flips across an axis, while rotation turns points around an origin by a specific angle.

Q4: What about reflection across other axes?
A: Reflection across y-axis would change the sign of x-coordinate, while reflection across origin changes both signs.

Q5: Can I reflect entire functions using this principle?
A: Yes, to reflect a function f(x) across the x-axis, you would use -f(x).