## What equation is symmetric with respect to the origin?

The graph of a relation is symmetric with respect to the origin if for **every point (x,y) on the graph, the point (-x, -y) is also on the graph. 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 origin.**

## How do you tell if a graph is symmetric with respect to the origin?

Mathwords: 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**

## What function has a graph symmetric about the origin?

An even function has reflection symmetry about the y-axis. **An odd function has rotational symmetry about the origin. We can decide algebraically if a function is even, odd or neither by replacing x by -x and computing f(-x). If f(-x) f(x), the function is even.**