Question

Below is the graph of f(x)=2In(x). How would you describe the graph of g(x)=4In(x)?

Answer 1

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.

Explanation:

We are given a original function f(x) as:

`f(x)=2\ln x`

and a transformed function g(x) as:

`g(x)=4\ln x`

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:

`g(x)=2* (2\ln x)\\\\i.e.\\\\g(x)=2f(x)`

i.e. g(x) is a vertical stretch of f(x) by a factor of 2.