Question

F(x) = x^2 what is g(x)

Answer 1

Answer: g(x)=(3x)^2

Step by step:Ape

Answer 2

`g(x) = 9 {x}^(2)`

Step-by-step explanation

The given function is:

`f(x) = {x}^(2)`

The function g(x) is a vertical compression of f(x).

This implies that:

`g(x)=a\bullet f(x)`

`g(x)=a\bullet {x}^(2)`

The function g(x) goes through (1,9).

`g(1)=9`

`a\bullet {(1)}^(2) = 9`

`a = 9`

Hence the function is:

`g(x) = 9 {x}^(2)`

This can be rewritten as:

`g(x) = {(3x)}^(2)`

The correct choice is A.