CAIE P1 2021 March — Question 5

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2021
SessionMarch
TopicFunction Transformations
TypeGraph to graph transformation description

5
\includegraphics[max width=\textwidth, alt={}, center]{54f3f051-e124-470d-87b5-8e25c35248a9-07_775_768_260_685} In the diagram, the graph of \(y = \mathrm { f } ( x )\) is shown with solid lines. The graph shown with broken lines is a transformation of \(y = \mathrm { f } ( x )\).
  1. Describe fully the two single transformations of \(y = \mathrm { f } ( x )\) that have been combined to give the resulting transformation.
  2. State in terms of \(y\), f and \(x\), the equation of the graph shown with broken lines.