Suppose f(x)=x^2. what is the graph of g(x)=f(4x)?

Answer with explanation:

We are given a function f(x) as:

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:

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:

From the graph we could clearly observe the relationship between the graph of function f(x) and graph of function g(x).

one that is bigger than 3 1/2