Determine the amplitude, period, and phase shift (if any) of the given function. Graph the function. \( y=\cos (6 x) \) The amplitude is (Simplify your answer. Type an exact answer, using \( \pi \) as needed.)

The amplitude of the function \( y=\cos(6x) \) is the coefficient in front of the cosine function, which is 1. Amplitude represents the height of the wave from its midline to its peak. The period of a cosine function is calculated using the formula \( \frac{2\pi}{b} \), where \( b \) is the coefficient of \( x \). In this case, \( b = 6 \), so the period is \( \frac{2\pi}{6} = \frac{\pi}{3} \). There is no phase shift present in this function as it is in the standard form \( y = a \cos(bx + c) + d \) with \( c = 0 \). Now, let's graph the function! The graph of \( y=\cos(6x) \) will oscillate between 1 and -1 with a period of \( \frac{\pi}{3} \). You would see one complete oscillation within this interval on the x-axis.