OCR C1 2010 January — Question 2 4 marks

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2010
SessionJanuary
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicCurve Sketching
TypeSingle transformation sketches
DifficultyEasy -1.2 This is a straightforward C1 transformation question requiring only basic recall: sketching a vertical stretch (multiply y-coordinates by 2) and describing a horizontal translation. Both are standard textbook exercises with no problem-solving or novel insight required, making it easier than average.
Spec1.02w Graph transformations: simple transformations of f(x)

2 \includegraphics[max width=\textwidth, alt={}, center]{918d83c3-1608-4482-9d3d-8af05e65f353-2_330_681_390_731} The graph of \(y = \mathrm { f } ( x )\) for \(- 2 \leqslant x \leqslant 4\) is shown above.
  1. Sketch the graph of \(y = 2 \mathrm { f } ( x )\) for \(- 2 \leqslant x \leqslant 4\) on the axes provided.
  2. Describe the transformation which transforms the graph of \(y = \mathrm { f } ( x )\) to the graph of \(y = \mathrm { f } ( x - 1 )\).

2\\
\includegraphics[max width=\textwidth, alt={}, center]{918d83c3-1608-4482-9d3d-8af05e65f353-2_330_681_390_731}

The graph of $y = \mathrm { f } ( x )$ for $- 2 \leqslant x \leqslant 4$ is shown above.\\
(i) Sketch the graph of $y = 2 \mathrm { f } ( x )$ for $- 2 \leqslant x \leqslant 4$ on the axes provided.\\
(ii) Describe the transformation which transforms the graph of $y = \mathrm { f } ( x )$ to the graph of $y = \mathrm { f } ( x - 1 )$.

\hfill \mbox{\textit{OCR C1 2010 Q2 [4]}}