Graphing the Cotangent Function with a Change in Period

The video tutorial explains how to graph the cotangent function, starting with identifying key values such as the period, which is calculated by dividing π by the coefficient of the variable. The tutorial covers finding critical points, X intercepts, and asymptotes, and determining the initial graph. It also discusses transformations and how they affect the graph. The cotangent graph is shown to rise left and fall right, and the tutorial concludes with a sketch of three periods of the cotangent function.

What transformations can affect the cotangent graph, and how do they alter its appearance?

Describe the general shape and behavior of the cotangent function as it approaches its asymptotes.