Asymptotes after transformation

A question is this type if and only if it asks to find or state the equations of asymptotes after a transformation has been applied.

2 questions

Edexcel C1 2007 January Q3
3. Given that \(\quad \mathrm { f } ( x ) = \frac { 1 } { x } , \quad x \neq 0\),
  1. sketch the graph of \(y = \mathrm { f } ( x ) + 3\) and state the equations of the asymptotes.
  2. Find the coordinates of the point where \(y = \mathrm { f } ( x ) + 3\) crosses a coordinate axis.
AQA FP1 2015 June Q6
  1. Sketch the curve \(C _ { 1 }\), stating the values of its intercepts with the coordinate axes.
  2. 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]