Edexcel C1 2014 January — Question 4

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2014
SessionJanuary
TopicCurve Sketching
TypeSingle transformation sketches

4. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{6081d81b-51d2-4140-9834-71ef7fd700b0-08_835_777_118_596} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows a sketch of a curve with equation \(y = \mathrm { f } ( x )\). The curve crosses the \(y\)-axis at \(( 0,3 )\) and has a minimum at \(P ( 4,2 )\). On separate diagrams, sketch the curve with equation
  1. \(y = \mathrm { f } ( x + 4 )\),
  2. \(y = 2 \mathrm { f } ( x )\). On each diagram, show clearly the coordinates of the minimum point and any point of intersection with the \(y\)-axis.