Sketch two translations on separate diagrams

Questions providing a sketch of y = f(x) and asking students to sketch exactly two transformations on separate diagrams, where both transformations are translations (vertical or horizontal shifts only, e.g. f(x)+a and f(x+b)).

5 questions · Moderate -0.9

1.02w Graph transformations: simple transformations of f(x)
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Edexcel C1 2008 June Q3
5 marks Moderate -0.8
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.
OCR MEI C1 Q4
4 marks Moderate -0.8
4 \includegraphics[max width=\textwidth, alt={}, center]{3b927f8b-ddf8-481d-a1ce-3b90bb1435f0-2_437_807_953_579} The graph shows a function \(y = \mathrm { f } ( x )\).
On separate graphs, sketch the graphs of the following functions:
  1. \(\quad y = \mathrm { f } ( x ) + 1\),
  2. \(y = \mathrm { f } ( x + 1 )\).
OCR MEI C1 Q4
4 marks Easy -1.3
4 \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e93e3c51-ae2b-420b-abb8-bf0c483caff8-4_679_727_357_741} \captionsetup{labelformat=empty} \caption{Fig. 7}
\end{figure} Fig. 7 shows the graph of \(y = \mathrm { g } ( x )\). Draw the graphs of the following.
  1. \(y = \mathrm { g } ( x ) + 3\)
  2. \(y = \mathrm { g } ( x + 2 )\)
OCR MEI C1 2012 January Q7
4 marks Moderate -0.8
7 \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f138ed97-09ca-488e-8651-1217ac2d7b21-2_684_734_1537_662} \captionsetup{labelformat=empty} \caption{Fig. 7}
\end{figure} Fig. 7 shows the graph of \(y = \mathrm { g } ( x )\). Draw the graphs of the following.
  1. \(y = \mathrm { g } ( x ) + 3\)
  2. \(y = \mathrm { g } ( x + 2 )\)
OCR MEI C1 2014 June Q3
4 marks Moderate -0.8
3 \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{2e8f2d63-8a25-4da2-8c3e-9e75ea1b7c08-2_798_819_836_623} \captionsetup{labelformat=empty} \caption{Fig. 3}
\end{figure} Fig. 3 shows the graph of \(y = \mathrm { f } ( x )\). Draw the graphs of the following.
  1. \(y = \mathrm { f } ( x ) - 2\)
  2. \(y = \mathrm { f } ( x - 3 )\)