OCR MEI C1 2006 January — Question 2 4 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2006
SessionJanuary
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicFunction Transformations
TypeDescribe transformation from graph
DifficultyModerate -0.8 This is a straightforward C1 question on basic function transformations requiring visual identification of a horizontal or vertical shift and matching to standard notation. It involves minimal calculation and tests only recognition of standard transformation forms, making it easier than average for A-level.
Spec1.02w Graph transformations: simple transformations of f(x)

\includegraphics{figure_2} Fig. 2 shows graphs \(A\) and \(B\).
  1. State the transformation which maps graph \(A\) onto graph \(B\). [2]
  2. The equation of graph \(A\) is \(y = f(x)\). Which one of the following is the equation of graph \(B\)? \(y = f(x) + 2\) \quad \(y = f(x) - 2\) \quad \(y = f(x + 2)\) \quad \(y = f(x - 2)\) \(y = 2f(x)\) \quad \(y = f(x + 3)\) \quad \(y = f(x - 3)\) \quad \(y = 3f(x)\) [2]

\includegraphics{figure_2}

Fig. 2 shows graphs $A$ and $B$.

\begin{enumerate}[label=(\roman*)]
\item State the transformation which maps graph $A$ onto graph $B$. [2]

\item The equation of graph $A$ is $y = f(x)$.

Which one of the following is the equation of graph $B$?

$y = f(x) + 2$ \quad $y = f(x) - 2$ \quad $y = f(x + 2)$ \quad $y = f(x - 2)$

$y = 2f(x)$ \quad $y = f(x + 3)$ \quad $y = f(x - 3)$ \quad $y = 3f(x)$ [2]
\end{enumerate}

\hfill \mbox{\textit{OCR MEI C1 2006 Q2 [4]}}