Here is the generated image based on the composition of rotated functions, similar to the one you requested.

Do you have any specific questions or need further details?

Here are five related questions for further exploration:

1. How does the rotation of a function affect its graph visually?
2. What transformations are involved in rotating a function about a point?
3. How do you determine the new coordinates of a point after rotation?
4. Can you describe the properties of functions that remain unchanged under rotation?
5. What are the differences between function translation and rotation?

Tip: Rotating a function around the origin involves applying rotation matrices to the function's coordinates. This can be particularly useful for understanding transformations in calculus.