Question

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

Answer 1

`g(x) = (4 {x)}^(2)`

Step-by-step explanation

We were given that,

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

Let

`g(x) = a * f(x)`

Or

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

The point (1,16) is on the graph of g(x), hence it must satisfy its equation:

This implies that,

`a {(1)}^(2) = 16`

`a = 16`

We substitute the value of 'a' to get,

`g(x) = 16 {x}^(2)`

Or

`g(x) = (4 {x)}^(2)`

The correct choice is B.