https://file.aiquickdraw.com/mathbot/file/1736736485929o6r17llf.jpg

To determine the amplitude of the function graphed, we need to measure the vertical distance from the midline of the wave to its peak (or trough).

### Analysis of the Graph:
1. **Peak (maximum value)**: The highest point of the graph is \( y = 2 \).
2. **Trough (minimum value)**: The lowest point of the graph is \( y = -4 \).
3. **Midline**: The midline is calculated as the average of the maximum and minimum values:
   \[
   \text{Midline} = \frac{\text{max} + \text{min}}{2} = \frac{2 + (-4)}{2} = -1.
   \]
4. **Amplitude**: The amplitude is the distance from the midline to the peak:
   \[
   \text{Amplitude} = \text{max} - \text{midline} = 2 - (-1) = 3.
   \]

### Final Answer:
The amplitude of the function is **3**.

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Would you like a detailed explanation of how to calculate midline and amplitude for other graphs or functions?

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### 5 Related Questions:
1. How do you find the period of a sine or cosine function from a graph?
2. What is the significance of the midline in sinusoidal functions?
3. How would the graph change if the amplitude were doubled?
4. Can you explain how phase shift affects the position of a sinusoidal graph?
5. How do you determine the equation of a sinusoidal function from its graph?

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### Tip:
For sinusoidal graphs, always note the **peak**, **trough**, and **midline** to quickly find amplitude, period, and phase shifts!

What is the amplitude of the function graphed below?

Learn how to find the amplitude of a sinusoidal function from its graph. This step-by-step guide demonstrates how to calculate the midline and amplitude using key points on the graph. Suitable for Grades 10-12 students studying trigonometry.

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