1. **State the problem:** We are given a cosine graph that has been vertically shifted. The general form of such a function is: $$y = \cos(x) + C$$ where $C$ is the vertical shift. 2. **Identify the vertical shift:** From the graph, observe the midline of the cosine wave. Normally, $\cos(x)$ oscillates between $-1$ and $1$ with a midline at $y=0$. 3. **Determine the new midline:** The graph's midline appears to be at $y=3$ (since the wave oscillates between $2$ and $4$). 4. **Write the equation:** Thus, the vertical shift $C = 3$. The equation is: $$y = \cos(x) + 3$$ 5. **Explanation:** Adding $3$ shifts the entire cosine graph up by $3$ units, moving the midline from $0$ to $3$. This matches the observed graph behavior. **Final answer:** $$y = \cos(x) + 3$$