Edexcel P1 2022 June — Question 4

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2022
SessionJune
TopicCurve Sketching
TypeSketch transformed curve from description

4. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{3cf69966-e825-4ff0-a6e8-c5dfdc92c53f-08_604_1207_251_370} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows a sketch of a curve with equation \(y = \mathrm { f } ( x )\)
The curve has a minimum at \(P ( - 1,0 )\) and a maximum at \(Q \left( \frac { 3 } { 2 } , 2 \right)\)
The line with equation \(y = 1\) is the only asymptote to the curve. On separate diagrams sketch the curves with equation
  1. \(y = \mathrm { f } ( x ) - 2\)
  2. \(y = \mathrm { f } ( - x )\) On each sketch you must clearly state
    • the coordinates of the maximum and minimum points
    • the equation of the asymptote