Question

How do you graph `f(x) = 3 ln (x-2)`?

Answer 1

See below.

Explanation:

`f(x) =3ln(x-2)`

`f(x)` is the standard graph of `lnx` transformed ("shifted") +2 units on the `x-`axis and scaled by 3 units. These transformations can be seen by the grapgs below.

Graph 1; `y=lnx`

graph{lnx [-10, 10, -5, 5]}

Graph 2: `y=ln(x-2)`

graph{ln(x-2) [-10, 10, -5, 5]}

Graph 3: `f(x)=3ln(x-2)`

graph{3ln(x-2) [-18.02, 18.02, -9, 9.02]}