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:

Respuesta :

Answer:

[tex]y = - 2 e^{x} - 3[/tex]

Step-by-step explanation:

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

Then the function will become [tex]y = 2e^{x}[/tex].

Then it is reflected across the x-axis.

So, the new function will be [tex]y = - 2e^{x}[/tex].

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

Answer:

1/2e^x -3

Step-by-step explanation: