Question

PLEASE HELP !! suppose that F(x)=x^2 and G(x)=3x^2+8.which statement best compares the graph of G(x) with the graph of F(x)

Answer 1

The graph of g(x) is the graph of f(x) stretched by 3 and shifted 8 units up

Explanation:

Given

`f(x)=x^2`

`g(x) =3x^2 + 8`

Required

Compare g(x) and f(x)

We have:

`g(x) =3x^2 + 8`

Rewrite as:

`g(x) =3[x^2] + 8`

Substitute:
`f(x)=x^2`

`g(x) =3f(x) + 8`

This means that:

3f(x)

f(x) is stretched vertically by a factor of 3

+8

Then shifted upwards by 8 units to give g(x)