Edexcel C1 2008 June — Question 3

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Year2008
SessionJune
TopicCurve Sketching
TypeSketch multiple separate transformations

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{9451ec48-d955-44a8-9988-68f7c0fb9821-04_463_703_276_589} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows a sketch of the curve with equation \(y = \mathrm { f } ( x )\). The curve passes through the point ( 0,7 ) and has a minimum point at ( 7,0 ). On separate diagrams, sketch the curve with equation
  1. \(y = \mathrm { f } ( x ) + 3\),
  2. \(y = \mathrm { f } ( 2 x )\). On each diagram, show clearly the coordinates of the minimum point and the coordinates of the point at which the curve crosses the \(y\)-axis.