Answer with explanation:
We are given a function f(x) as:
[tex]f(x)=x^2[/tex]
Now we are asked to find the graph of the function g(x) which is constructed with the help of a parent function f(x) and is given as:
[tex]g(x)=f(4x)[/tex]
So, the graph of g(x) is a horizontal shrink of the graph of f(x).
and the expression of g(x) is given as:
[tex]g(x)=(4x)^2=16x^2[/tex]
From the graph we could clearly observe the relationship between the graph of function f(x) and graph of function g(x).
