Pre-U Pre-U 9794/1 2013 November — Question 6

Exam BoardPre-U
ModulePre-U 9794/1 (Pre-U Mathematics Paper 1)
Year2013
SessionNovember
TopicFunction Transformations
TypeAlgebraic to algebraic transformation description
DifficultyEasy -1.3 This question tests basic recall of standard function transformations (reflection in y-axis, horizontal translation, horizontal stretch) with no problem-solving or application required. These are fundamental transformations that students learn early and practice extensively, making this significantly easier than average A-level questions.
Spec1.02w Graph transformations: simple transformations of f(x)

6 Describe fully the transformations which, when applied to the graph of \(y = \mathrm { f } ( x )\), will produce the graphs with equations given by
  1. \(y = \mathrm { f } ( - x )\),
  2. \(y = \mathrm { f } ( x - 3 )\),
  3. \(y = \mathrm { f } \left( \frac { x } { 2 } \right)\).

6 Describe fully the transformations which, when applied to the graph of $y = \mathrm { f } ( x )$, will produce the graphs with equations given by\\
(i) $y = \mathrm { f } ( - x )$,\\
(ii) $y = \mathrm { f } ( x - 3 )$,\\
(iii) $y = \mathrm { f } \left( \frac { x } { 2 } \right)$.

\hfill \mbox{\textit{Pre-U Pre-U 9794/1 2013 Q6}}