The graph shows part of a square root function. From the appearance of the curve, it looks like a typical transformation of the parent function $y = \sqrt{x}$.

Step-by-step Analysis:

1. The graph starts at $x = 0$, which suggests no horizontal shift.
2. The graph passes through the point $(0, 4)$, indicating a vertical translation upwards by 4 units.
3. The curve behaves like the square root function, so the general form of this transformation would be $y = \sqrt{x} + 4$.

Thus, the equation of the square root function for the given graph is: $y = \sqrt{x} + 4$

Would you like more detailed steps on graph transformations or have any specific questions?

Related Questions:

1. What are other transformations that could apply to a square root function?
2. How does shifting a function vertically affect its graph?
3. Can square root functions ever result in negative y-values?
4. What is the domain and range of the square root function in this graph?
5. How do you find the equation of a function from a graph?

Tip: When analyzing a graph, pay close attention to how it shifts horizontally and vertically for quick insights into the equation.