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Choice C is correct. Each of the given choices gives three values of $x$: $0$, $1$, and $2$. Substituting $0$ for $x$ in the given equation yields $y=-4\left(0\right)+40$, or $y=40$. Therefore, when $x=0$, the corresponding value of $y$ for the given equation is $40$. Substituting $1$ for $x$ in the given equation yields $y=-4\left(1\right)+40$, or $y=36$. Therefore, when $x=1$, the corresponding value of $y$ for the given equation is $36$. Substituting $2$ for $x$ in the given equation yields $y=-4\left(2\right)+40$, or $y=32$. Therefore, when $x=2$, the corresponding value of $y$ for the given equation is $32$. Choice C gives three values of $x$, $0$, $1$, and $2$, and their corresponding values of $y$, $40$, $36$, and $32$, respectively, for the given equation.

Choice A is incorrect. This table gives three values of $x$ and their corresponding values of $y$ for the equation $y=-4x$.

Choice B is incorrect. This table gives three values of $x$ and their corresponding values of $y$ for the equation $y=4x+40$.

Choice D is incorrect. This table gives three values of $x$ and their corresponding values of $y$ for the equation $y=4x$.