Sketch the curve \(C _ { 1 }\), stating the values of its intercepts with the coordinate axes.
The curve \(C _ { 1 }\) is translated by the vector \(\left[ \begin{array} { l } k 0 \end{array} \right]\), where \(k < 0\), to give a curve \(C _ { 2 }\).
Given that \(C _ { 2 }\) passes through the origin \(( 0,0 )\), find the equations of the asymptotes of \(C _ { 2 }\). [0pt]
[3 marks]