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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.

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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.

Learn how to graph the function y(x) = 4 cos(x), with an amplitude of 4 and a period of 2π. Explore trigonometric concepts and understand how changes in amplitude affect the graph. Suitable for Grades 10-12.

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