Here is the graph of $y(x) = 4 \cos(x)$. It is a cosine wave with an amplitude of 4, meaning it oscillates between -4 and 4. The period remains $2\pi$, as the cosine function repeats every $2\pi$ units.

Do you need more details or have any questions?

Here are five related questions:

1. What is the frequency of the function $4 \cos(x)$?
2. How does changing the coefficient of $\cos(x)$ affect the graph?
3. What is the phase shift for a general cosine function $y = 4 \cos(x - \phi)$?
4. How would you find the derivative of $4 \cos(x)$?
5. What is the integral of $4 \cos(x)$?

Tip: In trigonometric graphs, multiplying a function like $\cos(x)$ by a constant affects its amplitude but does not change its period.