Question

Identify the transformations that describe the graph of an odd function. Select all that apply.

1. reflection over the x-axis
2. reflection over the y-axis
3. reflection over the line y = x
4. 90° rotation around the origin
5. 180° rotation around the origin

Answer 1

A function is said to be an odd Function is the graph of the function is symmetric with respect to the origin. A function is odd if and only if f(–x) = –f(x).

The transformations that describe the graph of an odd function includes:

1.) 180° rotation around the origin

2.) reflection over the line y = x