How to denote $h(\theta)$ and $h_\theta(x)$ verbally - Is there a difference?

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This is a very newb question but I'm having trouble with understanding the notation between the two. How should I be saying it in my head? $h(\theta)$ vs $h_\theta(x)$

The first one is the function $h$ with respect to $\theta$. Is the second one, the function $h$ with respect to $x$ at each iteration of $\theta$.

Thank you very much.