Cosine Graph
Amp = 2 
Period = 2pi(1/2) = 4PI

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Here is the graph of the cosine function with an amplitude of 2 and a period of \(4\pi\).

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Here are 5 related questions to deepen your understanding:
1. How does changing the amplitude affect the shape of the cosine graph?
2. What happens to the graph if we change the period to \(2\pi\) instead of \(4\pi\)?
3. How would the graph change if the function was \(y = -2 \cos\left(\frac{\pi x}{2}\right)\)?
4. How can we determine the phase shift in a cosine function?
5. What is the difference between the graphs of sine and cosine functions with the same amplitude and period?

**Tip:** The amplitude of a trigonometric function affects the height of the peaks and troughs, while the period affects how "stretched" or "compressed" the wave looks along the x-axis.

Cosine Graph
Amp = 2
Period = 2pi(1/2) = 4PI
Send an image of the graph

Explore the graph of the cosine function with an amplitude of 2 and a period of 4π. Learn how changes to the amplitude and period affect the shape of the cosine wave, with visual representation. Suitable for high school students studying trigonometry.

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