Question

Suppose f(x)=x^2 what is the graph of g(x)= f(5x)

Answer 1

Explanation:

That '5' in f(5x) will compress the graph of x^2 horizontally.

If you were to graph f(x) = x^2, you'd get a parabolic graph; the parabola will open UP.

Suppose you graphed f(x) = x^2 on the interval [-4, 4].

Then the graph of g(x) = f(5x) would be graphed on the interval [-4/5, 4/5]. In other words, the graph would be on a shorter interval, one shorter by a factor of 5.

Answer 2

Answer with explanation:

→The given function is

f(x)= x²

The graph of this function is in the shape of Parabola.

→→We have to find the graph of the function

`g(x)=f(5 x)\\\\g(x)=(5x)^2\\\\g(x)=25 x^2`

So, the graph of , g(x) will be in the Shape of Parabola.