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The image you uploaded contains trigonometric functions where you're asked to determine the amplitude, period, and sketch the graph for one period. Let's solve each part:

### General form of Trigonometric Functions:
1. **Sine Function**: \( y = A \sin(Bx) \)
2. **Cosine Function**: \( y = A \cos(Bx) \)

- **Amplitude**: \( |A| \) (the coefficient of sine or cosine)
- **Period**: \( \frac{2\pi}{|B|} \) (where \( B \) is the coefficient of \( x \))

Let's analyze each function:

### 1. \( y = 2 \sin x \)
- **Amplitude**: \( |2| = 2 \)
- **Period**: \( \frac{2\pi}{1} = 2\pi \)

### 2. \( y = 3 \sin x \)
- **Amplitude**: \( |3| = 3 \)
- **Period**: \( \frac{2\pi}{1} = 2\pi \)

### 3. \( y = 4 \sin x \)
- **Amplitude**: \( |4| = 4 \)
- **Period**: \( \frac{2\pi}{1} = 2\pi \)

### 4. \( y = 6 \cos x \)
- **Amplitude**: \( |6| = 6 \)
- **Period**: \( \frac{2\pi}{1} = 2\pi \)

### 5. \( y = 6 \cos \left( \frac{x}{4} \right) \)
- **Amplitude**: \( |6| = 6 \)
- **Period**: \( \frac{2\pi}{\frac{1}{4}} = 8\pi \)

### 6. \( y = 6 \cos(4x) \)
- **Amplitude**: \( |6| = 6 \)
- **Period**: \( \frac{2\pi}{4} = \frac{\pi}{2} \)

Would you like details on how to sketch these graphs or how the calculations were made?

Here are 5 related questions to deepen your understanding:
1. How do you determine the phase shift of a sine or cosine function?
2. What is the relationship between period and frequency in trigonometric functions?
3. Can you explain how to determine the vertical shift of a sine function?
4. What would happen to the graph if the sine or cosine function had a negative amplitude?
5. How do you sketch multiple periods of a trigonometric function?

**Tip**: Always check the coefficient of \( x \) to determine the period of a trigonometric function. It controls how "stretched" or "compressed" the graph is along the x-axis.

Tentukan amplitudo, periode dan gambarkan grafik fungsi trigonometri untuk y = 2sinx, y = 3sinx, y = 4sinx, y = 6cosx, y = 6cos(x/4), y = 6cos(4x)

Learn how to determine the amplitude and period of trigonometric functions such as y = 2sinx, y = 3sinx, and y = 6cos(4x). This lesson includes step-by-step explanations and formulas for calculating the period and amplitude, ideal for high school students.

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