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9.02 Graphing sine and cosine functions

Interactive practice questions

How does the graph of $y=3\cos x$y=3cosx differ from the graph of $y=\cos x$y=cosx?

Select the two correct options.

The amplitude of $y=3\cos x$y=3cosx is $3$3 times greater than the amplitude of $y=\cos x$y=cosx.

A

The period of $y=3\cos x$y=3cosx is greater than the period of $y=\cos x$y=cosx.

B

The maximum value of $y=3\cos x$y=3cosx is $3$3 times greater than the maximum value of $y=\cos x$y=cosx.

C

$y=3\cos x$y=3cosx is a reflection of $y=\cos x$y=cosx about the $x$x-axis.

D
Easy
1min

Determine the equation of the graphed function given that it is of the form $y=a\sin x$y=asinx or $y=a\cos x$y=acosx, where $x$x is in degrees.

Easy
1min

Determine the equation of the graphed function given that it is of the form $y=a\sin x$y=asinx or $y=a\cos x$y=acosx.

Easy
< 1min

State the amplitude of $y=-4\sin x$y=4sinx.

Easy
< 1min
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Outcomes

III.F.TF.5

Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.

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