Graphing the Cosine Function with a Change in Period and Vertical Transformation

The video tutorial explains how to graph the function P(x) = cos(2x + 1) by identifying transformations and characteristics such as amplitude, period, X scale, phase shift, and vertical transformation. It covers the transformation function, calculates the necessary characteristics, and provides a step-by-step guide to graphing the function, ensuring a clear understanding of the process.

What is the significance of the phase shift in the graph of the cosine function?

Describe the characteristics of the cosine graph and how they relate to the transformations applied.