2024 DHS Promo Q4

The curve \(C\) has parametric equations \[x = -\frac{2}{t - 1}, \quad y = \frac{4}{t + 1}, \quad t < 1, \quad t \neq \pm 1.\]

1. Sketch a clearly labelled diagram of \(C\), indicating any axial intercepts and asymptotes (if any) of this curve.[2]
2. Find also its cartesian equation, stating any restrictions where applicable.[3]