Respuesta :

Answer:

B

Step-by-step explanation:

We begin with the given function [tex]f(x)=x^2[/tex]

To find [tex]g(x)[/tex], we can plug [tex]3x[/tex] into the function [tex]f(x)=x^2[/tex]

[tex]f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2[/tex]

Now that we know the equation of  [tex]g(x)[/tex], we can find the graph that is equivalent to it.

The only graph that is even close to the function [tex]g(x)=9x^2[/tex] is B, so that is our answer.

The correct answer is B

Explain

We have

F(x)= x^2

G(x) = f(3x)

It obtained by substituting x= 3

We have


G(x) = (3x)^2
G(x) = 9x^2


So

G(x) = 9x ^2

When X= 1

g(1)= 9(1)^2 = 9

X= -1


g(-1) = 9 (-1) ^2 = 9

So now

This is the only valid and visible in the graph B

We can see x= 1 or x= -1

The graph shoots up to the value of 9


Glad I can help you

Good Luck :D
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