Question

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

Answer 1

You see that (2,2) is on g(x). So plugging in (2,2) into each of the equations, you see that only C) g(x)=
`(x^2)/(2)` works.

Answer 2

The correct option is C.

Explanation:

The given function is

`f(x)=x^2`

From the given graph it is clear that the vertex of f(x) and g(x) are same, i.e.,(0,0). But the graph of g(x) compressed vertically.

`g(x)=kf(x)`

If k>1, then graph of g(x) stretched vertically and if k<1, then graph of g(x) compressed vertically.

`g(x)=kx^2`

The graph of g(x) passing through the point (2,2).

`2=k(2)^2`

`2=4k`

`k=(1)/(2)`

The value of k is 1/2. The function g(x) is

`g(x)=(1)/(2)x^2`

Therefore, option C is correct.