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marshall27 [118]
2 years ago
14

Find the amplitude, period, and phase shift of the function.

Mathematics
1 answer:
Softa [21]2 years ago
4 0

Cosine is transformed in the form:

f(x)=a\cos(b(x-c))+d

The amplitude is a

The period of cosine is:

\frac{2\pi}{b}

And the phase shift is always by c, so that means our transformed functon in the form mentioned above looks like:

f(x)=3\cos{(3(x-\frac{\pi}{6}}))+1

So our period is \frac{2\pi}{3}

Our phase shift is by \frac{\pi}{6} units to the right

and our amplitude is 3.

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