Answer
See the graph
Work Step by Step
$y=\frac{1}{2}|x-1|-5$
The graph $y=\frac{1}{2}|x-1|-5$ is the graph $y=|x|$ shifted 1 unit to the right and down 5 units.
Make a list of values:
$x=-1 \rightarrow y=-4$
$x=0 \rightarrow y=-\frac{9}{2}$
$x=1 \rightarrow y=-5$
$x=2 \rightarrow y=-\frac{9}{2}$
$x=3 \rightarrow y=-4$