List all transformations of $LaTeX: \displaystyle f(x)=x^{3}$ to obtain the graph of $LaTeX: \displaystyle g(x)=5 \left(x - 2\right)^{3}-7$

The graph is stretched by a factor of $LaTeX: \displaystyle 5$ . The graph is shifted right 2 units. The graph is shifted down 7 units.