SPS SPS FM 2022 November — Question 3

Exam BoardSPS
ModuleSPS FM (SPS FM)
Year2022
SessionNovember
TopicFunction Transformations
TypeMultiple separate transformations

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{d8940254-0663-413e-a802-71519742cfcc-06_597_977_130_351} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows the graph of \(y = \mathrm { f } ( x )\).
  1. Write down the number of solutions that exist for the equation
    1. \(\mathrm { f } ( x ) = 1\),
    2. \(\mathrm { f } ( x ) = - x\).
  2. Labelling the axes in a similar way, sketch on separate diagrams in the space provided the graphs of
    1. \(\quad y = \mathrm { f } ( x - 2 )\),
    2. \(y = \mathrm { f } ( 2 x )\).
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