Question

The function y=ex is vertically stretched by a factor of 2, reflected across the x-axis, and then shifted down 3 units, find the resulting function.
Provide your answer below:

Answer 1

Answer:

$y = - 2 e^{x} - 3$

Step-by-step explanation:

We have to vertically stretch the function $y = e^{x}$ by a factor of 2.

Then the function will become $y = 2e^{x}$.

Then it is reflected across the x-axis.

So, the new function will be $y = - 2e^{x}$.

Now, if the function is shifted down 3 units then the final function will become $y = - 2 e^{x} - 3$ (Answer)