Learn How to Graph the Sine Function with a Change in the Period

The video tutorial explains how to graph y = 1/3 sin(x). It begins by discussing the general form of the sine graph and the role of the coefficient 1/3. The instructor then reviews the parent graph of the sine function, highlighting its period and x scale. The concept of amplitude is introduced, showing how the graph is compressed due to the 1/3 coefficient. Finally, the instructor demonstrates the graphing process, adjusting intervals to fit the new amplitude.

Describe the initial period of the sine function and how it is represented on the graph.

How does the graph of y = 1/3 sine of X illustrate the concept of periodicity?

What is the significance of the amplitude in the context of the sine graph?

What effect does the coefficient 1/3 have on the amplitude of the sine graph?

Explain how the graph of y = 1/3 sine of X differs from the parent sine graph.