CAIE P1 2022 November — Question 5

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2022
SessionNovember
TopicFunction Transformations
TypeComposite transformation sketch

5 The graph with equation \(y = \mathrm { f } ( x )\) is transformed to the graph with equation \(y = \mathrm { g } ( x )\) by a stretch in the \(x\)-direction with factor 0.5 , followed by a translation of \(\binom { 0 } { 1 }\).
  1. The diagram below shows the graph of \(y = \mathrm { f } ( x )\). On the diagram sketch the graph of \(y = \mathrm { g } ( x )\).
    \includegraphics[max width=\textwidth, alt={}, center]{5d26c357-ea9f-47d9-8eca-2152901cf2f1-07_613_1527_623_342}
  2. Find an expression for \(\mathrm { g } ( x )\) in terms of \(\mathrm { f } ( x )\).