Apr 9, 2025 · Are you ready to learn how to perform a reflection over x axis and a reflection over y axis on the coordinate plane? This free tutorial for students will teach you how to construct points and figures reflected over the x axis and reflected over the y axis.

Reflections: Interactive Activity and examples. Reflect across x axis, y axis, y=x , y=-x and other lines.

Jan 21, 2020 · When reflecting over (across) the x-axis, we keep x the same, but make y negative. When reflecting over (across) the y-axis, we keep y the same, but make x-negative. When reflecting over the line y=x, we switch our x and y. These reflected points represent the inverse function.

There are a number of different types of reflections in the coordinate plane. The most common cases use the x-axis, y-axis, and the line y = x as the line of reflection. In a reflection about the x-axis, the x-coordinates stay the same while the y-coordinates take on their opposite signs. Algebraically, the ordered pair (x, y) becomes (x , -y).

Reflect over the x-axis: When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

For reflections about the x-axis, the points are reflected from above the x-axis to below the x-axis, and vice versa. Test it out on our example questions.

Given a function f (x) f (x), a new function g(x)= −f (x) g (x) = − f (x) is a vertical reflection of the function f (x) f (x), sometimes called a reflection about (or over, or through) the x -axis.

Reflection of a point in the x-axis states that when a point is reflected across the x-axis, the x-coordinate remains constant, while the y-coordinate is assumed to be the additive inverse of the given ordinate. For example, a point (x, y) is reflected across the x-axis as (x, -y).

In this video, we’ll explore how to reflect a triangle across the x-axis on the coordinate plane. Using the reflection rule (x, y) → (x, -y), we’ll transform each vertex step by step and verify that our new figure is a perfect mirror image of the original.

How to create reflections. When we reflect figures, we must map every one of their points across a fixed line. We call this fixed line the "line of reflection." If we have just one point to work with, reflections are simple: A reflection of a point over the x -axis: As you can see, this point has been reflected over the x-axis.