CAIE P1 2024 June — Question 2

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2024
SessionJune
TopicFunction Transformations
TypeMultiple transformations in sequence

2
\includegraphics[max width=\textwidth, alt={}, center]{cacac880-5b44-4fae-8ed8-88a095db69cd-03_606_1515_260_274} The diagram shows two curves. One curve has equation \(y = \sin x\) and the other curve has equation \(y = f ( x )\).
  1. In order to transform the curve \(y = \sin x\) to the curve \(y = f ( x )\), the curve \(y = \sin x\) is first reflected in the \(x\)-axis. Describe fully a sequence of two further transformations which are required.
  2. Find \(\mathrm { f } ( x )\) in terms of \(\sin x\).