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Trigonometry: Graphs

Problems

Vertical and Horizontal Stretches

How to Cite This SparkNote

Problem : What is the period and amplitude of the cosine graph?

The period is 2Π and the amplitude is 1.

Problem : What is the period and amplitude of the graph of the following function: y = 2 sin(4x) ?

The period is and the amplitude is 2.

Problem : Are any of the trigonometric functions stretches of another trigonometric function, vertical or horizontal?

No. Although some of the trigonometric functions can be represented as shifts of one another, none are stretches of one another.

Problem : What is the period and amplitude of the following graph?

The period is 4Π and the amplitude is 2.

Problem : What is the period and amplitude of the following graph?

The period is Π and the amplitude is .

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