OCR MEI C2 2012 June — Question 4 4 marks

Exam BoardOCR MEI
ModuleC2 (Core Mathematics 2)
Year2012
SessionJune
Marks4
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicFunction Transformations
TypeForward transformation (single point, multiple transformations)
DifficultyEasy -1.2 This is a straightforward recall question on basic function transformations requiring only direct application of standard rules: vertical stretch multiplies y-coordinate by 3, horizontal stretch by factor 1/4 divides x-coordinate by 4. No problem-solving or conceptual insight needed, just mechanical application of memorized transformation rules.
Spec1.02w Graph transformations: simple transformations of f(x)

4 The point \(\mathrm { P } ( 6,3 )\) lies on the curve \(y = \mathrm { f } ( x )\). State the coordinates of the image of P after the transformation which maps \(y = \mathrm { f } ( x )\) onto
  1. \(y = 3 \mathrm { f } ( x )\),
  2. \(y = \mathrm { f } ( 4 x )\).

4 The point $\mathrm { P } ( 6,3 )$ lies on the curve $y = \mathrm { f } ( x )$. State the coordinates of the image of P after the transformation which maps $y = \mathrm { f } ( x )$ onto\\
(i) $y = 3 \mathrm { f } ( x )$,\\
(ii) $y = \mathrm { f } ( 4 x )$.

\hfill \mbox{\textit{OCR MEI C2 2012 Q4 [4]}}