Question

I need help on understanding how to do this/how this works.

Answer 1

Given:

Two functions f(x) and g(x) are given as below

`f(x)=x^2,g(x)=((1)/(3)x)^2`

Find:

we have to compare the graphs of both functions.

Step-by-step explanation:

Firstly, we will draw the graphs of both functions f(x) and g(x) as following

The graph of f(x) is represented by red colour and the graph of g(x) is represented by blue colour.

From the above graphs, it is clear that the graph of g(x) is the graph of f(x) horizontally stretched by a factor of 3.

Therefore, the correct option is A, i.e. the graph of g(x) is the graph of f(x) horizontally stretched by a factor of 3.