List all transformations of LaTeX:  \displaystyle f(x)=|x| to obtain the graph of LaTeX:  \displaystyle g(x)=11 - 7 \left|{x + 1}\right|

The graph is shifted left 1 units. The graph is reflected across the LaTeX:  \displaystyle x- axis and stretched by a factor of 7. The graph is shifted up 11 units.