List all transformations of $LaTeX: \displaystyle f(x)=x^{2}$ to obtain the graph of $LaTeX: \displaystyle g(x)=2 \left(x - 7\right)^{2}+10$

The graph is stretched by a factor of $LaTeX: \displaystyle 2$ . The graph is shifted right 7 units. The graph is shifted up 10 units.