How do you use transformation to graph the cosine function and determine the amplitude and period of $y=2cos(1/3x)$ ?

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Answer 1 · 2018-04-08T05:41:41

Amplitude: $2$ Period: $6pi$

For a cosine function in the form

$y=Acos(bx),$ the amplitude is given by $|A|$ and the period by $P=(2pi)/b$

Here, $A=2,$ so the amplitude is $|2|=2$

$b=1/3, P=(2pi)/(1/3)=2pi*3=6pi$

How do you use transformation to graph the cosine function and determine the amplitude and period of y=2cos(1/3x)y=2cos(1/3x)?