Find the amplitude, period, and phase shift of the function. Graph the function. Be sure to label key points. Show at least two periods.
\[
y=6 \cos \left(4 x+\frac{\pi}{2}\right)
\]
What is the amplitude?
(Simplify your answer. Type an exact answer, using $\pi$ as needed. Use integers or fractions for any numbers in the expression.)
The amplitude of the function is the absolute value of the coefficient of the cosine function. In this case, the coefficient is 6, so the amplitude is \(\boxed{6}\).
Step 1 :The amplitude of the function is the absolute value of the coefficient of the cosine function. In this case, the coefficient is 6, so the amplitude is \(\boxed{6}\).