Describe the transformations and the domain

The video tutorial explains how to describe transformations of a graph and determine the domain and range. It covers the importance of distinguishing between inside and outside function notation, and how these affect graph transformations. The tutorial demonstrates how subtracting or adding values inside or outside a function results in shifts of the graph, specifically right and upward shifts. It also discusses how these transformations impact the domain and range of the graph, providing examples to illustrate these changes.

After shifting the graph 4 units up, what is the new range?

Explain the difference between domain and range in the context of the transformations discussed.