OCR MEI C1 2006 January — Question 2

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2006
SessionJanuary
TopicCurve Sketching
TypeIdentify transformation from two graphs

2 \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{7a4a7ff2-d196-4645-96f1-9c994caab0a2-2_526_524_541_767} \captionsetup{labelformat=empty} \caption{Fig. 2}
\end{figure} Fig. 2 shows graphs \(A\) and \(B\).
  1. State the transformation which maps graph \(A\) onto graph \(B\).
  2. The equation of graph \(A\) is \(y = \mathrm { f } ( x )\). Which one of the following is the equation of graph \(B\) ? $$\begin{array} { l l l l } y = \mathrm { f } ( x ) + 2 & y = \mathrm { f } ( x ) - 2 & y = \mathrm { f } ( x + 2 ) & y = \mathrm { f } ( x - 2 )
    y = 2 \mathrm { f } ( x ) & y = \mathrm { f } ( x + 3 ) & y = \mathrm { f } ( x - 3 ) & y = 3 \mathrm { f } ( x ) \end{array}$$