# How do you use transformation to graph the cosine function and determine the amplitude and period of #y=cos(-4x)#?

Amp is 1

Period is

So amp in this case is 1

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To graph the cosine function (y = \cos(-4x)), you first consider the parent cosine function (y = \cos(x)). The transformation involves a horizontal compression by a factor of 1/4 (since the coefficient of x is -4). The amplitude remains unchanged at 1, and the period is affected by the compression.

The amplitude of the cosine function remains 1.

The period of the cosine function is given by (2\pi) divided by the absolute value of the coefficient of (x), which is (|-\frac{1}{4}| = \frac{1}{4}).

Therefore, the amplitude is 1 and the period is (\frac{1}{4}).

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