The curve whose equation is $y=3-e^x$ undergoes, in succession, the following transformations: A:

Question

The curve whose equation is $y=3-e^x$ undergoes, in succession, the following transformations: A: Translation by $2$ units in the positive $x$-direction. B: Scaling by a scale factor of $\frac{1}{2}$ parallel to the $x$-axis. C: Translation by $1$ unit in the positive $y$-direction. D: Scaling by a scale factor of $2$ parallel to the $y$-axis. Find the equation of the resulting curve.[5]

Accepted Answer

$y=8-2e^{2x-2}$

Successive transformations of an exponential curve

Successive transformations of an exponential curve

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