by simply setting the absolute expression to 0, and solving for x, we can get the x-coordinate.
[tex] \bf y=|x-3|\stackrel{y}{+2}~\hspace{5em}
\begin{array}{|c|ll}
\cline{1-1}
\\
x-3=0\\
x=\stackrel{x}{3}
\\\\
\cline{1-1}
\end{array}~\hspace{5em}\stackrel{vertex}{(\stackrel{x}{3},\stackrel{y}{2})} [/tex]
