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We are given the equation:

\[
y = 2 \cos \left( x + \frac{\pi}{10} \right)
\]

To solve for the various properties:

### 1. **Amplitude**:
The amplitude is the coefficient in front of the cosine function. Here, it is \(2\). Therefore, the amplitude is:
\[
\boxed{2}
\]

Would you like to go over the details of how to find the period, phase shift, or vertical translation?

Here are some follow-up questions you might consider:
1. How is the period of a cosine function calculated?
2. What is the phase shift in this equation?
3. Is there any vertical translation in this function?
4. How does the coefficient of \(x\) affect the frequency of the cosine wave?
5. How would the graph look if we replaced \( \cos \) with \( \sin \)?

**Tip**: The phase shift in a cosine function is determined by the horizontal shift \( (x + \frac{\pi}{10}) \), and you should solve for it step by step.

Determine the amplitude, period, any vertical translation, and any phase shift of the graph given by the equation y = 2cos(x + π/10).

This trigonometry problem involves determining the amplitude, period, phase shift, and vertical translation of the cosine function y = 2cos(x + π/10). Key concepts include understanding how to calculate amplitude, find the period using 2π, and determine phase shifts in cosine functions.

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