Graphing a Cosine Function with a Horizontal Translation

The video tutorial explains how to use translation in graphing functions, focusing on calculating amplitude and period, and understanding horizontal shifts. It provides a detailed process for shifting graphs and identifies important points and distances. The tutorial emphasizes the importance of following steps to avoid confusion and highlights key concepts in graph transformations.

How do you determine the amplitude of a cosine function?

What is the formula for finding the period of a cosine function?

What does a horizontal shift of π/4 indicate in a cosine graph?

What is the significance of the values 0 and 2π in the context of a cosine graph?

Explain how to find the endpoints of one cycle of a cosine graph.

How do you set up the equation to find the new endpoints after a shift?

What is the relationship between the amplitude and the vertical stretch of the cosine function?

Describe the process of determining the important points of a shifted cosine graph.

How do you calculate the distance between important points in a cosine graph?

What steps should be followed to graph a cosine function with a horizontal shift?