Graphing logarithmic equations

The video tutorial explains how to graph a logarithmic function with a vertical shift. It begins by introducing the concept of transformations and how they affect the graph. The instructor then demonstrates graphing the logarithm without transformations, followed by applying transformations to the graph. Key points include plotting specific points, understanding the asymptote, and shifting the graph vertically. The tutorial concludes with a finalized graph, maintaining the domain and range properties.

What is the domain and range of the logarithmic function discussed?

Describe the process of shifting the graph of the logarithmic function.