Given the following State-Space model, derive the Transfer Function model.

\[\begin{gathered}\dot{x}=\left[\begin{array}{ccc}3 & -5 & 2 \\1 & -8 & 7 \\-3 & -6 & 2\end{array}ight]\left[\begin{array}{l}x_{1} \\x_{2} \\x_{3}\end{array}ight]+\left[\begin{array}{c}5 \\-3 \\2\end{array}ight] r \\y=\left[\begin{array}{lll}1 & -4 & 3\end{array}ight]\left[\begin{array}{l}x_{1} \\x_{2} \\x_{3}\end{array}ight]\end{gathered}\]