The function $\mathrm{f}$ is defined by $\mathrm{f}:x\mapsto \ln \left( 2x+1 \right)+5$, $x\in \math

Question

The function $\mathrm{f}$ is defined by $\mathrm{f}:x\mapsto \ln \left( 2x+1 \right)+5$, $x\in \mathbb{R}$, $x>-\frac{1}{2}$. Describe a sequence of three transformations which would transform the curve $y=\ln \left( -2x \right)$ onto the curve $y=\mathrm{f}(x)$. [3]

Accepted Answer

Reflection in the $y$-axis Translation by $\dfrac12$ unit in the negative $x$-direction Translation by $5$ units in the positive $y$-direction

2021 VJC P2 Q1 (ii)

2021 VJC P2 Q1 (ii)

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