Answer:
The statement which best describes the graph of g(x) is:
Option: A
A. g(x) stretches f(x) vertically by a factor of 2.
Step-by-step explanation:
We are given a original function f(x) as:
[tex]f(x)=2\ln x[/tex]
and a transformed function g(x) as:
[tex]g(x)=4\ln x[/tex]
We know that any transformation of the type:
f(x) to a f(x) is a vertical stretch by a factor of a if a>1
and a vertical compression if a<1
Here we have:
[tex]g(x)=2\times (2\ln x)\\\\i.e.\\\\g(x)=2f(x)[/tex]
i.e. g(x) is a vertical stretch of f(x) by a factor of 2.
