The curve with equation $y=\mathrm{f}(x)$ is transformed by a translation of 2 units in the negative

Question

The curve with equation $y=\mathrm{f}(x)$ is transformed by a translation of 2 units in the negative $x$-direction, followed by a scaling with scale factor $3$ parallel to the $x$-axis, and followed by a translation of $4$ units in the positive $y$-direction. The equation of the resulting curve is $y=2{{\mathrm{e}}^{{{x}^{2}}-36}}$. Find the equation of the curve $y=\mathrm{f}(x)$. [3]

Accepted Answer

(a) $y=\mathrm f(x)=2\mathrm e^{9x(x-4)}-4$

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2023 YIJC Promo Q8

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