The amplitude of a sinusoidal function \(y = a \sin(x)\) is the absolute value of the coefficient \(a\). 

For the given function \(y = -3 \sin(x)\):

1. The coefficient \(a\) is \(-3\).
2. The amplitude is the absolute value of \(-3\), which is \(3\).

So, the amplitude of \(y = -3 \sin(x)\) is \(3\).

Would you like more details or have any questions?

Here are 8 relative questions that expand on this topic:

1. What is the period of the function \(y = -3 \sin(x)\)?
2. How does the negative sign in front of the amplitude affect the graph of \(y = -3 \sin(x)\)?
3. What are the maximum and minimum values of the function \(y = -3 \sin(x)\)?
4. How would the graph of \(y = -3 \sin(x)\) compare to the graph of \(y = 3 \sin(x)\)?
5. What is the phase shift of the function \(y = -3 \sin(x)\)?
6. How would you determine the amplitude of a function like \(y = -3 \sin(2x)\)?
7. What is the general form of a sinusoidal function?
8. How do you find the amplitude of a function \(y = -3 \cos(x)\)?

**Tip:** The amplitude of a sinusoidal function is always positive, as it represents the distance from the midline to the peak (or trough) of the wave.

Explore how to determine the amplitude of the sinusoidal function y = -3sin(x). Learn the definition of amplitude in trigonometry and its application to y = -3sin(x). Suitable for high school students studying trigonometry.

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