The graph $y=\mathrm{f}\left( x \right)$ undergoes transformations in the following order: I. \(\q

Question

The graph $y=\mathrm{f}\left( x \right)$ undergoes transformations in the following order: I. $\qquad$ Reflection in the $x$-axis II. $\quad\;\;\,$ Translation in the positive $x$-direction by $4$ units III. $\quad\;\,$ Scaling parallel to the $x$-axis by a scale factor of $\frac{1}{3}$ The equation of the resulting graph is ${{\mathrm{e}}^{2y}}=7-3x$. Find the equation of the original graph in the form $y=\mathrm{f}\left( x \right)$.[3]

Accepted Answer

$\mathrm{f}(x) = -\frac{1}{2}\ln(3 - x)$

2019 ASRJC Promo Q1

2019 ASRJC Promo Q1

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