/Users/timgan/pCloud Drive/Tim Gan Math Learning Centre/Curriculum - IB/Resources - HL/Topical/REVISION 2 P1 (2016).pdf (PDF page 4, Paper 1 Question 3)
Describe a single transformation that transforms the graph of \(y=\ln x\) to
the graph of \(y=\ln x^2\),[1]
the graph of \(y=\log_{(e^2)}x\),[2]
the graph of \(y=\ln 2x\). In this last case give two different answers.[2]
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Answer:(a) Vertical stretch by factor \(2\). (b) Vertical stretch by factor \(\frac12\). (c) Translate by \(\binom{0}{\ln2}\), or horizontally compress by factor \(\frac12\).