How to find the horizontal shift when there is a compression of a function

The video tutorial explains three types of transformations: reflection, compression/stretch, and horizontal shift. It details the types of reflections on the X and Y axes, and how to identify horizontal compression. The importance of rewriting problems by factoring out constants for mathematical correctness is emphasized. The tutorial concludes with a summary and proof of the discussed concepts.

How does a horizontal compression differ from a horizontal stretch?

What is the significance of the value of 2 in the context of horizontal compression?