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From the graph provided, we need to determine the equation of the form \( y = a \sin(bx) \) or \( y = a \cos(bx) \). Here's the step-by-step solution:

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### Step 1: Identify the amplitude
The amplitude \( a \) is the maximum value of the function from the centerline (y = 0).  
- From the graph, the maximum value is 4 and the minimum value is -4.
- Thus, the amplitude \( a = 4 \).

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### Step 2: Determine the period
The period \( T \) is the length of one complete wave. The formula for the period is:
\[
T = \frac{2\pi}{b}
\]
From the graph:
- The wave completes one full cycle between \( x = 0 \) and \( x = 2 \pi \). Thus, the period \( T = 2\pi \).
- Substituting \( T = 2\pi \) into the formula:
\[
2\pi = \frac{2\pi}{b} \implies b = 1
\]

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### Step 3: Determine if it is sine or cosine
- At \( x = 0 \), the graph starts at 0 and rises upward, which matches the behavior of the sine function.
- Therefore, the function is of the form \( y = a \sin(bx) \).

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### Final Answer:
The equation is:
\[
y = 4 \sin(x)
\]

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Would you like a deeper explanation or any verification steps?  

Here are 5 related questions for practice:
1. How would the equation change if the amplitude were halved?
2. What happens to the graph if \( b \) is doubled?
3. How do you convert a sine equation to a cosine equation?
4. What effect does a negative amplitude (\( a < 0 \)) have on the graph?
5. How would the equation change if the graph started at its maximum point instead of 0?

**Tip:** When identifying the type of trigonometric function, always pay attention to where the graph starts at \( x = 0 \). Sine starts at 0, while cosine starts at its maximum or minimum.

Write an equation of the form y = a sin(bx) or y = a cos(bx) to describe the graph shown in the image.

Learn how to determine the equation of a sine or cosine wave from a graph. This problem explains how to find the amplitude, period, and function type. Suitable for students in Grades 9-12 studying trigonometry.

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