Edexcel P1 2023 June — Question 9

Exam BoardEdexcel
ModuleP1 (Pure Mathematics 1)
Year2023
SessionJune
TopicTrig Graphs & Exact Values

\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a5a5dd8b-1438-4698-929a-c5e3d5ed0694-24_536_933_255_568} \captionsetup{labelformat=empty} \caption{Figure 3}
\end{figure} Figure 3 shows part of the graph of the trigonometric function with equation \(y = \mathrm { f } ( x )\)
  1. Write down an expression for \(\mathrm { f } ( x )\) On a separate diagram,
  2. sketch, for \(- 2 \pi < x < 2 \pi\), the graph of the curve with equation \(y = \mathrm { f } \left( x + \frac { \pi } { 4 } \right)\) Show clearly the coordinates of all the points where the curve intersects the coordinate axes.
    (ii) \begin{figure}[h]
    \includegraphics[alt={},max width=\textwidth]{a5a5dd8b-1438-4698-929a-c5e3d5ed0694-24_378_1251_1617_408} \captionsetup{labelformat=empty} \caption{Figure 4}
    \end{figure} Figure 4 shows part of the graph of the trigonometric function with equation \(y = \mathrm { g } ( x )\)
  3. Write down an expression for \(\mathrm { g } ( x )\) On a separate diagram,
  4. sketch, for \(- 2 \pi < x < 2 \pi\), the graph of the curve with equation \(y = \mathrm { g } ( x ) - 2\) Show clearly the coordinates of the \(y\) intercept.