Here is the graph of $y = \cos(x) + 2$, showing the oscillation between 1 and 3 with a vertical shift upward by 2 units.

Would you like more details about any part of the graph or its properties?

Here are 5 related questions for further exploration:

1. How would the graph change if the function was $y = \cos(x) - 2$?
2. What happens to the graph if we multiply the function by a constant, e.g., $y = 2\cos(x) + 2$?
3. How does the period of the graph change if the argument is modified to $y = \cos(2x) + 2$?
4. Can you explain the phase shift in the cosine function, and how would it affect $y = \cos(x - \pi/2) + 2$?
5. What is the significance of the amplitude and how can we adjust it in the equation?

Tip: When graphing transformations, always identify vertical shifts, amplitude changes, and period adjustments first for a clear understanding of how the graph is affected.