Graphing the Secant Function with a Reflection and Change in Period

The video tutorial explains how to graph the secant function by first graphing its reciprocal, the cosine function. It covers determining the amplitude and period of the cosine function, setting up the graph with critical points, and reflecting the cosine graph over the X-axis. The tutorial then shows how to transform the cosine graph into the secant graph by identifying asymptotes and plotting parabolas between them. The process is demonstrated step-by-step, ensuring a clear understanding of graphing secant functions.

What effect does a negative sign in front of the cosine function have on its graph?

Describe the characteristics of the secant graph in relation to its asymptotes.

How does the secant graph differ from the cosine graph in terms of its shape?