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To determine the amplitude of the given sinusoidal graph, we need to analyze the characteristics of the graph in question.

Amplitude refers to the maximum distance from the midline (the horizontal axis) to the peak (or trough) of the graph. It's essentially half the vertical distance between the maximum and minimum values of the sine wave.

From the provided graph and the given coordinate \( (5, 2) \), we can infer the following:

- The point \( (5, 2) \) is a significant point on the graph, likely representing the maximum value of the sine wave at \( y = 2 \).
- The minimum value, judging by symmetry in sine waves, would then be \( -2 \) (since the wave appears to be symmetric around the x-axis or midline).

Thus, the amplitude \( A \) is:

\[
A = \frac{\text{Maximum value} - \text{Minimum value}}{2} = \frac{2 - (-2)}{2} = \frac{4}{2} = 2
\]

Therefore, the **amplitude of the graph is 2**.

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you determine the period of a sine wave from a graph?
2. What is the equation of the sine function based on this graph?
3. How does phase shift affect the graph of a sine wave?
4. How can you calculate the frequency of a wave from its graph?
5. How would the graph change if the amplitude were increased or decreased?

**Tip:** Amplitude only affects the vertical stretch of the wave, not its horizontal length or frequency.

What is the amplitude of the graph shown below? *Note: Coordinates of the given point on the graph are (5,2).

Learn how to calculate the amplitude of a sinusoidal graph, given a key point (5,2). This involves analyzing trigonometric wave properties and using the amplitude formula to find the answer. Suitable for high school students in Grades 9-12.

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