Question

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

Answer 1

G(x)=f(4x)
f(x)=x²
f(4x)=(4x)²
g(x)=(4x)²=16x²
g(x)=16x²

Answer 2

Answer with explanation:

We are given a function f(x) as:

$f(x)=x^2$

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:

$g(x)=f(4x)$

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:

$g(x)=(4x)^2=16x^2$

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