# What is x-axis and y-axis symmetry?

## What is x-axis and y-axis symmetry?

X-Axis Symmetry: Occurs if “y” is replaced with “-y”, and it yields the original equation. Y-Axis Symmetry: Occurs if “x” is replaced with “-x”, and it yields the original equation.

What is x-axis and y-axis example?

The point where the X and Y-axis intersect is known as the origin and is used as the reference point for the plane. The X-axis is also known as abscissa. The Y-axis is also known as ordinate….X and Y-Axis Definition and Difference.

X-Axis Y-Axis
Known as abscissa Known as ordinate
Referred to (x,y) Referred to (x,y)

### Is Y x symmetric about the origin?

Since the equation is identical to the original equation, it is symmetric to the origin.

How do you find origin symmetry?

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

## How do you find the x-axis symmetry?

To check for symmetry with respect to the x-axis, just replace y with -y and see if you still get the same equation. If you do get the same equation, then the graph is symmetric with respect to the x-axis.

What is origin symmetry?

Symmetric about the Origin. Symmetric across the Origin. Symmetric with Respect to the Origin. Describes a graph that looks the same upside down or right side up. Formally, a graph is symmetric with respect to the origin if it is unchanged when reflected across both the x-axis and y-axis.

### How do you find the origin of a graph?

The y-axis runs vertically, and the x-axis runs horizontally. The point at where they intersect is equal to zero. In a nutshell, to find the origin of a line, determine the point at which both axes of a coordinate system intersect, and all coordinates equal zero.

Does X come before Y?

The x-coordinate always comes first, followed by the y-coordinate. As you can see in the coordinate grid below, the ordered pairs (3,4) and (4,3) are two different points!

## When plotting a graph is it X vs Y?

The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).

Where is y-axis and x-axis?

A coordinate grid has two perpendicular lines, or axes (pronounced AX-eez), labeled just like number lines. The horizontal axis is usually called the x-axis. The vertical axis is usually called the y-axis. The point where the x- and y-axis intersect is called the origin.

### What is axis symmetry?

noun. Mathematics. a straight line for which every point on a given curve has corresponding to it another point such that the line connecting the two points is bisected by the given line.