Answer
Refer to the blue graph below.
The graph involves a $4$-unit shift to the left and a $5$-unit shift downward of the parent function $f(x)=|x|$.
Work Step by Step
Create a table of values then plot each ordered pair and connect them using a line (a V-shaped graph must be formed). Refer to the graph above.
Recall:
(1) The graph of the function $y=f(x)+k$ involves a vertical shift of $|k|$ units (upward when $k\gt0$, to downward when $k\lt0$) of the parent function $f(x)$.
(2) The graph of the function $y=f(x-h)$ involves a horizontal shift of $|h|$ units (to the right when $h\gt0$, to the left when $h\lt0$) of the parent function $f(x)$.
The given function has $f(x)=|x|$ as its parent function, and can be written as $y=f(x+4)-5$.
Thus, with $h=-4$ and $k=-5$, its graph involves a $4$-unit shift to the left and a $5$-unit shift downward of the parent function $f(x)=|x|$.
Refer to the blue graph above.