Remember the following rules for function transformations:
Horizontal compression by a factor k:
[tex]f(x)\rightarrow f(kx)[/tex]
Vertical translation by c units:
[tex]f(x)\rightarrow f(x)+c[/tex]
Notic that the graph of h(x) is the graph of the cubic root function.
As we can see from the equation of g(x), the function has been horizontally compressed by a factor of 2 and translated 4 units up.
[tex]\sqrt[3]{x}\rightarrow\sqrt[3]{2x}\rightarrow\sqrt[3]{2x}+4[/tex]
