Final answer:
The amplitude of the function y = 4cos(x) is 4 and the period is 2π. The equation of the midline is y = 0.
Step-by-step explanation:
To determine the amplitude and period of the function y = 4cos(x), we need to understand the properties of the cosine function. The amplitude of a cosine function is the absolute value of the coefficient in front of the cosine term, which in this case is 4. So the amplitude is 4.
The period of a cosine function is calculated using the formula T = 2π/|b|, where b is the coefficient of x in the cosine term. In this case, the coefficient of x is 1. So the period is T = 2π/1 = 2π.
The midline of a cosine function is the horizontal line that represents the average value of the function. In this case, since the function is y = 4cos(x), the midline is y = 0.