Learn How to Graph Cosine with a Change in Period

The video tutorial covers the process of graphing trigonometric functions, focusing on cosine. It explains key concepts such as amplitude, period, X scale, and phase shift. The teacher guides students through calculating these elements and graphing the cosine function, emphasizing the importance of understanding fractions and scaling. The tutorial also addresses vertical translation and how to repeat graphing cycles, ensuring students can graph two full periods of the function.

What is the amplitude of the cosine function discussed in the video?

• 0

• 2

• 0.5

• 1

How is the X scale calculated for graphing purposes?

• Subtract 4 from the period

• Add 4 to the period

• Divide the period by 4

• Multiply the period by 4

What is the phase shift of the cosine function in the video?

• π/2

• 0

• π

• 2π

Is there any vertical translation in the cosine function discussed?

• Yes, upward

• Yes, both upward and downward

• Yes, downward

• No

What is the new amplitude of the cosine graph after transformation?

• 1

• 0.5

• 2

• 0

How many periods of the cosine function are graphed in the video?

• 1

• 2

• 3

• 4

What is the distance between each term on the X scale in the graph?

• π/6

• 2π/3

• π/3

• π/2