Answer
See the graph
Work Step by Step
$y=|3(x-1)|$
$\rightarrow y=|3x-3|$
The vertex is $(3,0)$.
Make a list of values:
$x=0 \rightarrow y=3$
$x=\frac{1}{2} \rightarrow y=\frac{3}{2}$
$x=\frac{3}{2} \rightarrow y=\frac{3}{2}$
$x=2 \rightarrow y=3$