Edexcel C1 2010 January — Question 8

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2010
SessionJanuary
TopicCurve Sketching
TypeSketch single transformation from given curve

8. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{280f0f3b-fdb5-4ac9-adc6-150819b03539-10_646_986_246_562} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows a sketch of part of the curve with equation \(y = \mathrm { f } ( x )\).
The curve has a maximum point \(( - 2,5 )\) and an asymptote \(y = 1\), as shown in Figure 1. On separate diagrams, sketch the curve with equation
  1. \(y = \mathrm { f } ( x ) + 2\)
  2. \(y = 4 \mathrm { f } ( x )\)
  3. \(y = \mathrm { f } ( \mathrm { x } + 1 )\) On each diagram, show clearly the coordinates of the maximum point and the equation of the asymptote.