If the function $g\left(x\right)=x^2+4$ is graphed, compared to $y=x^2$, in which direction and by how many units is the graph shifted?

If the function $h\left(x\right)=\left(x-2\right)^2$ is graphed, compared to $y=x^2$, in which direction and by how many units is the graph shifted?

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