https://file.aiquickdraw.com/mathbot/file/1726780356908m32sqbtc.jpg

Let's analyze the graph to identify the period, midline, and amplitude of the cosine function.

1. **Amplitude**: The amplitude is the distance from the midline to the maximum or minimum value of the graph. From the graph, the maximum value is 3 and the minimum value is -3, indicating that the amplitude is \( \frac{3 - (-3)}{2} = 3 \).

2. **Midline**: The midline is the horizontal line that lies halfway between the maximum and minimum values. Since the maximum is 3 and the minimum is -3, the midline is at \( y = 0 \).

3. **Period**: The period is the length of one complete cycle of the graph. Looking at the graph, one full cycle occurs from \( x = 0^\circ \) to \( x = 120^\circ \), so the period is 120°.

Therefore, the correct answer is:
- The period is **120°**,
- The midline is **\( y = 0 \)**,
- The amplitude is **3**.

This matches the third option: **The period is 120°, the midline is \( y = 0 \), and the amplitude is 3**.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How does the amplitude affect the shape of a cosine function graph?
2. What is the formula to calculate the period of a cosine function?
3. How would shifting the midline affect the graph of a cosine function?
4. What is the general form of a cosine function and how do its parameters affect the graph?
5. How can you determine the phase shift of a cosine function from its graph?

**Tip**: The period of a cosine function is given by \( \frac{360^\circ}{B} \), where \( B \) is the coefficient of \( x \) in the cosine equation \( y = A \cos(Bx + C) + D \).

Identify the period, midline, and amplitude of the following cosine function graph.

Learn how to identify the period, midline, and amplitude of a cosine function from its graph. This problem involves a cosine function with a period of 120°, a midline of y = 0, and an amplitude of 3. Suitable for students in Grades 9-11.

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