10 The curve \(C\) has equation
$$y = \frac { x ^ { 2 } } { x + \lambda }$$
where \(\lambda\) is a non-zero constant. Obtain the equation of each of the asymptotes of \(C\).
In separate diagrams, sketch \(C\) for the cases \(\lambda > 0\) and \(\lambda < 0\). In both cases the coordinates of the turning points must be indicated.