The given function is:

$y = 4 \cos(x)$

The general form of a cosine function is:

$y = A \cos(Bx + C) + D$

Where:

• $A$ is the amplitude,
• $B$ affects the period,
• $C$ is the phase shift,
• $D$ is the vertical shift.

For the function $y = 4 \cos(x)$, the amplitude $A$ is the coefficient in front of the cosine function. In this case, $A = 4$.

So, the amplitude is:

$\text{Amplitude} = 4$

Do you need details on the graph or have any questions?

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5 Related Questions:

1. What is the period of the function $y = 4 \cos(x)$?
2. How does the amplitude affect the shape of the cosine function?
3. What is the phase shift of the function $y = 4 \cos(x)$?
4. Can you determine the maximum and minimum values of $y = 4 \cos(x)$?
5. How would the function change if the amplitude were negative?

Tip:

The amplitude of a cosine or sine function is always the absolute value of the coefficient in front of the trigonometric term.