The video tutorial explains how to apply transformations to functions, focusing on the differences between operations applied outside versus inside the function. It covers reflecting a function across the X-axis by multiplying by a negative outside the function and shifting a function horizontally by adjusting the function's input. The tutorial emphasizes understanding these transformations to correctly modify functions.

Explain the significance of the operation being inside or outside the function.

What is the effect of reflecting a function across the X-axis?

How do you identify a horizontal shift in a function?

What does it mean when a transformation is described as 'opposite'?

How would you write the final function after applying a reflection and a shift?