Choice A is correct. The value of $h - 2$ can be found by substituting $-2$ for $x$ in the equation defining $h$. Substituting $2$ for $x$ in $h(x) = 3x - 7$ yields $h - 2 = 3 - 2 - 7$, or $h - 2 = - 13$. Therefore, the value of $h - 2$ is $-13$.

Choice B is incorrect. This is the value of $h - 1$ , not $h - 2$.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.