List all transformations of $LaTeX: \displaystyle f(x)=|x|$ to obtain the graph of $LaTeX: \displaystyle g(x)=6 - 7 \left|{x - 4}\right|$

The graph is shifted right 4 units. The graph is reflected across the $LaTeX: \displaystyle x-$ axis and stretched by a factor of 7. The graph is shifted up 6 units.