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

The graph is shifted right 2 units. The graph is reflected across the $LaTeX: \displaystyle x-$ axis and stretched by a factor of 3. The graph is shifted up 5 units.