AQA FP1 2008 June — Question 7

Exam BoardAQA
ModuleFP1 (Further Pure Mathematics 1)
Year2008
SessionJune
TopicCurve Sketching
TypeSketch rational function from transformation

7 A curve \(C\) has equation $$y = 7 + \frac { 1 } { x + 1 }$$
  1. Define the translation which transforms the curve with equation \(y = \frac { 1 } { x }\) onto the curve \(C\).
    1. Write down the equations of the two asymptotes of \(C\).
    2. Find the coordinates of the points where the curve \(C\) intersects the coordinate axes.
  2. Sketch the curve \(C\) and its two asymptotes.