Math Definition: Reflection Over the X Axis

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image. In this case, the x axis would be called the axis of reflection.

What is the formula for reflecting over the x-axis?

Here are the general rules for the reflection over x-axis equation: Given an equation, y=f(x) y = f ( x ) , the reflection equation of the new reflected graph will be y=−f(x) y = − f ( x ) . That is, the function is simply multiplied by −1 which will produce a curve reflected over the x-axis.

What is the rule of the reflection?

The rule of reflection is very simple and logical. It says that when a point (x,y) is reflected along the x-axis, the y- coordinate becomes negative and when the same point is reflected along the y- axis, the x coordinate becomes negative.

How do you reflect over Y?

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is transformed into its opposite (its sign is changed). Notice that B is 5 horizontal units to the right of the y-axis, and B’ is 5 horizontal units to the left of the y-axis. the y-axis is the point (-x,y).