Question

What does f of x equal to e to the power of x minus 4 equal in graph form?

f(x)=e^x-4

Answer 1

Please see below.

Explanation:

.

I am not sure which of the following you meant:

`f(x)=e^x-4` or `f(x)=e^(x-4)` but they look like the following:

Let's first graph the base curve which is `f(x)=e^x`:

`f(x)=e^x-4` has the graph shown below:

As seen above, when you subtract a constant from the function, i.e. `y`, the graph gets a vertical shift down equal to the constant

`f(x)=e^(x-4)` has the graph shown below:

As seen above, when you subtract a constant from `x`, you get a horizontal shift in the positive direction, i.e. to the right, equal to the constant.