## What does symmetric to the x-axis mean?

Definition: Symmetric with respect to the x-axis. We say that a graph is symmetric with respect to the x axis if for every point (a,b) on the graph, there is also a point (a,−b) on the graph; hence f(x,y)=f(x,−y). Visually we have that the x-axis acts as a mirror for the graph.

## Can a graph be symmetric to both the X and y-axis?

Functions can be symmetrical about the y-axis, which means that if we reflect their graph about the y-axis we will get the same graph. There are other functions that we can reflect about both the x- and y-axis and get the same graph. These are two types of symmetry we call even and odd functions.

**How do you know if a graph is symmetric to the x-axis?**

A graph is symmetric with respect to a line if reflecting the graph over that line leaves the graph unchanged. This line is called an axis of symmetry of the graph. A graph is symmetric with respect to the x-axis if whenever a point is on the graph the point is also on the graph.

### How do you find the symmetry of a shape?

You can find if a shape has a Line of Symmetry by folding it. When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry.

### How do you know if data is symmetric?

Symmetric data is observed when the values of variables appear at regular frequencies or intervals around the mean. Asymmetric data, on the other hand, may have skewness or noise such that the data appears at irregular or haphazard intervals.

**How do you find symmetry?**

Tests for Symmetry

- A graph will have symmetry about the x -axis if we get an equivalent equation when all the y ‘s are replaced with –y .
- A graph will have symmetry about the y -axis if we get an equivalent equation when all the x ‘s are replaced with –x .

## How many axis of symmetry does a square have?

four axes of symmetry

Thus a square has four axes of symmetry, because there are four different ways to fold it and have the edges all match. A circle has infinitely many axes of symmetry.