Which of the following statements best describes the relationship between the graphs of $y=12x^3$ and $y=x^3$?

The graph of $y=12x^3$ is a horizontal translation of the graph of $y=x^3$ by $12$ units to the right.

The graph of $y=12x^3$ is a reflection of the graph of $y=x^3$ across the $x$-axis.

The graph of $y=12x^3$ is a vertical stretch of the graph of $y=x^3$ by a factor of $12$.

The graph of $y=12x^3$ is a vertical shrink of the graph of $y=x^3$ by a factor of $12$.