Reflection Across X Axis Calculator

Enter X Coordinate:

Enter Y Coordinate:


Calculate

Result:

Introduction

Calculating the reflection of a point across the x-axis is a fundamental geometric operation frequently used in mathematics and computer graphics. In this article, we’ll provide a simple and effective calculator for this task using HTML and JavaScript. The calculator will be encapsulated within a form element, ensuring a structured and user-friendly experience.

How to Use

Using the reflection across the x-axis calculator is straightforward. Enter the coordinates of the point you want to reflect in the designated input fields. Click the “Calculate” button, and the result will be displayed instantly.

Formula

The formula for reflecting a point (x, y) across the x-axis is as follows:

Reflection x-axis​(x,y)=(x,−y)

This formula negates the y-coordinate, effectively mirroring the point across the x-axis.

Example

Let’s consider an example. Suppose we have a point with coordinates (3, 5). Applying the reflection across the x-axis formula:

Reflection x-axis​(3,5)=(3,−5)

Thus, the reflected point is (3, -5).

FAQs

Q: Can I enter decimal values for coordinates?
A: Yes, the calculator supports decimal values for both x and y coordinates.

Q: What happens if I input non-numeric values?
A: The calculator will prompt you to enter valid numeric coordinates.

Conclusion

The reflection across the x-axis calculator presented here offers a quick and precise solution for geometric transformations. By following the provided formula and examples, users can effortlessly obtain the reflected coordinates of a point across the x-axis.