Answer
See the graph
Work Step by Step
$y=-|5(x+4)|-1$
$\rightarrow y=-|5x+20|-1$
The vertex is $(-4,-1)$.
The graph of $ y=-|5x+20|-1$ is the graph $y=|x|$ translated 4 units horizontally and 1 unit vertically. The graph is directed downwards due to the minus value.