Learn how to identify horizontal and vertical shifts of multiple functions

The video tutorial covers the concept of function transformations, focusing on identifying whether changes occur inside or outside the function. It explains how adding or subtracting values affects the function's graph, leading to horizontal or vertical translations. The tutorial provides examples using various functions like cosine, exponential, and rational functions, and concludes with a brief Q&A session.

Describe the transformation that occurs when you add a number to the denominator of a function.

What happens to the graph when you subtract a number from the exponent?