8 The equation of a curve is
$$y = \frac { k x } { ( x - 1 ) ^ { 2 } } ,$$
where \(k\) is a positive constant.
- Write down the equations of the asymptotes of the curve.
- Show that \(y \geqslant - \frac { 1 } { 4 } k\).
- Show that the \(x\)-coordinate of the stationary point of the curve is independent of \(k\), and sketch the curve.