The graph of y e is reflected about the yaxis and then shift

The graph of y e* is reflected about the y-axis and then shifted three units to the right. Write the equation ofthe function in the final position.

Solution

Reflection over the y-axis : f (-x) reflects f (x) over the y-axis.

So, becomes f(x) = e^(-x)

Further shifted 3 units to the right:

f(x) = e^(-x -3)

Final function : f(x) = e^(-x -3)