OCR C3 2011 June — Question 2

Exam BoardOCR
ModuleC3 (Core Mathematics 3)
Year2011
SessionJune
TopicFunction Transformations
TypeMultiple transformations in sequence

2 The curve \(y = \ln x\) is transformed by:
a reflection in the \(x\)-axis, followed by a stretch with scale factor 3 parallel to the \(y\)-axis, followed by a translation in the positive \(y\)-direction by \(\ln 4\).
Find the equation of the resulting curve, giving your answer in the form \(y = \ln ( \mathrm { f } ( x ) )\).