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.

4 questions · Moderate -0.7

1.02w Graph transformations: simple transformations of f(x)
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Edexcel C1 2007 January Q3
6 marks Moderate -0.8
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
5 marks Standard +0.3
  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]
Edexcel C1 Q3
6 marks Moderate -0.8
Given that \(f(x) = \frac{1}{x}\), \(x \neq 0\),
  1. sketch the graph of \(y = f(x) + 3\) and state the equations of the asymptotes. [4]
  2. Find the coordinates of the point where \(y = f(x) + 3\) crosses a coordinate axis. [2]
AQA AS Paper 1 2021 June Q3
3 marks Easy -1.3
The graph of the equation \(y = \frac{1}{x}\) is translated by the vector \(\begin{bmatrix}3\\0\end{bmatrix}\)
  1. Write down the equation of the transformed graph. [1 mark]
  2. State the equations of the asymptotes of the transformed graph. [2 marks]