which graph represents an odd function?

Explanation:

Step1: Recall odd - function property

An odd function satisfies $f(-x)=-f(x)$ and its graph is symmetric about the origin.

Step2: Analyze the first graph

The first graph of $f(x)$ is symmetric about the y - axis, which means it is an even function ($f(-x) = f(x)$).

Step3: Analyze the second graph

The second graph of $g(x)$ is not symmetric about the y - axis or the origin. Since no correct graph is shown in the provided images, we assume we are looking for the general property. A graph of an odd function has 180 - degree rotational symmetry about the origin.

Answer:

A graph of an odd function is symmetric about the origin.