Question

PLEASE HELP!!

Suppose f(x)=x^2. What is the graph of g(x)=f(3x)

Answer 1

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

Answer 2

B

Explanation:

We begin with the given function
`f(x)=x^2`

To find
`g(x)`, we can plug
`3x` into the function
`f(x)=x^2`

`f(x)=x^2\\\\f(3x)=(3x)^2\\\\f(3x)=9x^2\\\\g(x)=9x^2`

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

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