To solve for $h(0)$ using the given graph of the function $h(x)$, you need to determine the value of the function at $x = 0$.

Looking at the graph, when $x = 0$ (which is on the y-axis), the corresponding value of $h(x)$ is the y-coordinate at that point. The point where $x = 0$ appears to be at $y = 4$.

Thus, $h(0) = 4$.

Do you want any further details or have additional questions? Here are five questions for practice:

1. How do you determine the value of a function from a graph at a given $x$-value?
2. What does it mean if $h(0) = 4$ in terms of the function's behavior?
3. How can you find the vertex of a parabola from its graph?
4. What would $h(x)$ be if the graph passed through the origin?
5. Can you describe the general shape and equation of a parabola?

Tip: The value of $h(0)$ is simply the y-coordinate of the point where the graph intersects the y-axis (at $x = 0$).