3A. Trigonometric and Polar Functions
United States of America
AP Precalculus
3.6 Sinusoidal function transformations
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
Medium
1min
State the amplitude of $y=-4\sin x$y=−4sinx.
Medium
< 1min
Consider the function $y=\frac{3}{2}\sin x$y=32sinx.
Medium
1min
Consider the function $y=-4\cos x$y=−4cosx.
Medium
< 1min
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