1. What Is Reflection Over Y Axis?

Reflection over the y-axis is a transformation that flips a point or function across the vertical axis, changing the sign of the x-coordinate while keeping the y-coordinate 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: The transformation preserves vertical position while mirroring the horizontal position across the y-axis.

3. Importance Of Reflection Calculation

Details: Reflection transformations are fundamental in geometry, computer graphics, and physics for modeling symmetry and mirroring operations.

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 across the y-axis.

5. Frequently Asked Questions (FAQ)

Q1: What happens to a function when reflected over the y-axis?
A: The function f(x) becomes f(-x), which effectively mirrors the graph across the vertical axis.

Q2: Does reflection over y-axis change the shape of geometric figures?
A: No, reflection preserves shape and size - it only changes the orientation (creates a mirror image).

Q3: How is this different from reflection over the x-axis?
A: Reflection over x-axis changes the sign of y-coordinate (x, y) → (x, -y), while y-axis reflection changes the sign of x-coordinate.

Q4: Can this calculator handle functions as well as points?
A: This calculator handles point reflection. For function reflection, the transformation f(x) → f(-x) would need to be applied to the function's equation.

Q5: What are some real-world applications of y-axis reflection?
A: Applications include mirror imaging in graphics software, symmetry analysis in physics, and coordinate transformations in engineering.