https://file.aiquickdraw.com/mathbot/file/1729358831742am80hf5o.jpg

Need to use this method but for another question just showing you the method first 

Thanks for sharing the image with the method you intend to use! It appears to involve graphing a sinusoidal function by determining key characteristics like amplitude, period, and phase shift, along with identifying critical points within one period.

The steps shown seem to involve:
1. **Finding the amplitude and period** of the sinusoidal function.
2. **Identifying phase shifts** and any **horizontal shifts**.
3. Marking important points like intercepts and extrema on the graph, based on the function's behavior over one period.
4. Constructing a **5-point summary**, marking where the function crosses the x-axis and reaches its maximum and minimum values.
   
Would you like to apply this method to a specific question? Please provide the function you'd like to work with or upload the question, and I'll guide you step-by-step through the process!

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Let me know if you'd like further details on this method or explanation on specific parts. Here are 5 relative questions to think about:

1. What is the formula for the amplitude and period of a general sinusoidal function?
2. How do phase shifts affect the graph of a sinusoidal function?
3. What are the critical points in one period of a sine or cosine function?
4. How would you adjust the method for a cosine instead of a sine function?
5. How do vertical and horizontal shifts influence the graph’s placement?

**Tip**: To avoid errors, always double-check your calculations for the phase shift and period when graphing trigonometric functions.

Graph the sinusoidal function y = 3 sin(4x). Include the 5-point summary for this function within one period, showing all critical values.

This problem demonstrates how to graph the sinusoidal function y = 3 sin(4x) by calculating its amplitude, period, and phase shift. The 5-point summary is illustrated over one period, with key points like x-intercepts, maxima, and minima. Ideal for Grades 10-12 students studying trigonometric functions.

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