Answer
See the graph
Work Step by Step
$y=|x|+2$
Make a list of values:
$x=-4\rightarrow y=6$
$x=-2\rightarrow y=4$
$x=2\rightarrow y=4$
$x=-4\rightarrow y=6$
The graph of $y=|x|+2$ is the graph of $y= |x|$ translated 2 units vertically, as shown in the diagram. The vertex of $y=|x|+2$ is $(0,2)$