Question

Amplitude, period, and phase shift of g(x)=cos(3x)

Answer 1

When you have a function \[
a\cos(\omega x+\phi)
\]Then \(a\) is the amplitude, \(2\pi/\omega\) is the period, and \(\phi\) is the phase shift.

Answer 2

In this case we have \(a=1\), \(\omega = 3\), and \(\phi = 0\).