Answer
See the graph
Work Step by Step
$y=-2|x|$
Make a list of values:
$x=-2\rightarrow y=-4$
$x=-1\rightarrow y=-2$
$x=1\rightarrow y=-2$
$x=2\rightarrow y=-4$
The graph of $y=-2|x|$ is the graph of $y= |x|$ uupside down, as shown in the diagram. The vertex of $y=-2|x|$ is $(0,0)$