Yes, it does look like the function $h(x)$ is a horizontal shift of $f(x)$ to the right by 1 unit. In general, a horizontal shift to the right by 1 unit can be represented by adjusting the input $x$ of the function $f(x)$ to $x - 1$. This means:

$h(x) = f(x - 1)$

This transformation essentially means that every point on the graph of $f(x)$ is shifted to the right by 1, resulting in the graph of $h(x)$.

Would you like a detailed explanation of function transformations or a step-by-step breakdown of how horizontal shifts work?

Here are some related questions that might deepen your understanding:

1. What is the general rule for shifting a function horizontally to the left or right?
2. How do vertical shifts affect a function compared to horizontal shifts?
3. If $h(x) = f(x + 2)$, how would that shift the function?
4. How do these transformations affect the domain of a function?
5. Can you explain how to combine horizontal and vertical shifts for a single function?

Tip: To visualize function transformations easily, plot both the original and transformed functions on the same graph, observing how each transformation (like shifts, reflections, or stretches) affects the shape and position of the graph.