Edexcel P1 2024 June — Question 3

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2024
SessionJune
TopicFunction Transformations
TypeMultiple separate transformations

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{7e2b7c81-e678-4078-964b-8b78e3b63f43-06_688_771_251_648} \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 points \(( - 1,0 )\) and \(( 0,2 )\) and touches the \(x\)-axis at the point \(( 3,0 )\). On separate diagrams, sketch the curve with equation
  1. \(y = \mathrm { f } ( \mathrm { x } + 3 )\)
  2. \(y = \mathrm { f } ( - 3 x )\) On each diagram, show clearly the coordinates of all the points where the curve cuts or touches the coordinate axes.