Translating the reciprocal function to sketch it's graph

The video tutorial explains how to graph a reciprocal function using transformations. It covers the concept of transformations, including shifts and asymptotes, and how they affect the graph. The tutorial also discusses the parent graph of a reciprocal function and how to determine the domain and range. The instructor guides students through the process of applying transformations to graph the function and identify the domain and range, emphasizing the importance of understanding asymptotes.

What are the key characteristics of a hyperbola as mentioned in the text?

What is the domain of the function discussed, and why is it defined that way?

How does the range of the function relate to the vertical shifts applied?