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From the graph you provided, it appears to represent a periodic wave that oscillates between maximum and minimum values. To find the **amplitude** and **period**:

### 1. **Amplitude**:
The amplitude is the maximum distance from the centerline (horizontal axis, y = 0) to the peak (maximum value).

- The graph oscillates between approximately **16** and **-8**. 
- Amplitude = \(\frac{ \text{Maximum Value} - \text{Minimum Value}}{2}\) 
  - \(\frac{16 - (-8)}{2} = \frac{24}{2} = 12\)
  
Thus, the amplitude is **12**.

### 2. **Period**:
The period is the distance along the x-axis required for the wave to complete one full cycle.

- The wave completes one cycle approximately from \(x = -5\) to \(x = 5\). 
  - The difference between these x-values is \(5 - (-5) = 10\).

Thus, the period is **10**.

Would you like a further explanation of the properties of periodic functions?

### 5 Related Questions:
1. How do you determine the frequency of a wave from its period?
2. What is the general equation for a sinusoidal wave with given amplitude and period?
3. Can the amplitude be negative, and what does that represent physically?
4. How can you use trigonometric functions to model the wave mathematically?
5. What is the phase shift of a sinusoidal wave, and how can it be calculated from a graph?

### Tip:
When analyzing waveforms, always check both the vertical (amplitude) and horizontal (period) behavior for complete understanding of the wave's characteristics.

Discover how to find the amplitude and period of a periodic wave by analyzing the graph. The wave oscillates between maximum and minimum values, and we use key mathematical formulas to determine the amplitude of 12 and a period of 10. Suitable for high school students studying trigonometric and periodic functions.

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