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.

What does the coefficient 1/3 do to the graph of y = sin(x)?

• It compresses the amplitude.

• It shifts the graph up.

• It reflects the graph.

• It changes the period.

What is the period of the parent graph y = sin(x)?

• π

• 4π

• 2π

• π/2

What is the amplitude of the parent graph y = sin(x)?

• 1

• 1/3

• 2

• 0.5

How does the graph of y = 1/3 sin(x) differ from y = sin(x)?

• It is shifted horizontally.

• It has a smaller amplitude.

• It has a different x-scale.

• It has a different period.

What is the new amplitude of y = 1/3 sin(x)?

• 0

• 2

• 1/3

• 1