RI/2021/JC2/Prelim/P1/Q05

(a) The graph of $y=\mathrm{f}(x)$ is shown below.

On separate diagrams, sketch the following graphs, indicating clearly the key features.
(i) $y=\mathrm{f}(1-x)$,

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(ii) $y=\mathrm{f}^{\prime}(x)$.

[3]

(b) State a sequence of transformations which transform the graph of $y=\ln \left(1-\frac{x}{2}\right)$ onto the graph of $y=\ln \left(\frac{2}{1-x}\right)$.

[3]