9. The curve \(C\) has equation \(y = \mathrm { f } ( x )\) and the point \(P ( 3,5 )\) lies on \(C\).
Given that
$$f ( x ) = 3 x ^ { 2 } - 8 x + 6$$
- find \(\mathrm { f } ( x )\).
- Verify that the point \(( 2,0 )\) lies on \(C\).
The point \(Q\) also lies on \(C\), and the tangent to \(C\) at \(Q\) is parallel to the tangent to \(C\) at \(P\).
- Find the \(x\)-coordinate of \(Q\).