Problem
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.)
Solution
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 \(\boxed{6}\).
