The graph of $y=\mathrm{f}\left( x \right)$ undergoes, in succession, the following transformation

Question

The graph of $y=\mathrm{f}\left( x \right)$ undergoes, in succession, the following transformations: Step 1: a translation of $1$ unit in the negative $y$- direction; followed by Step 2: a stretch with scale factor $2$ parallel to the $x$-axis. The equation of the resulting curve is $y=\ln \left( 2x+3 \right)$, $x>-\frac{3}{2}$. Determine the equation of the graph, $y=\mathrm{f}\left( x \right)$.[2]

Accepted Answer

$y=f(x)=\ln(4x+3)+1$, $x>-\dfrac34$

2013 ACJC Promo Q1

2013 ACJC Promo Q1

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