Transform One Function Graph into Another

Horizontally shrinking the function $f(x)=x^3$ by a factor of $2$.

Horizontally stretching the function $f(x)=x^3$ by a factor of $2$.

Horizontally shrinking the function $f(x)=x^2$ by a factor of $x$.

Vertically shrinking the function $f(x)=x^3$ by a factor of $8$.