Question

The graph of F(x), shown below, resembles the graph of G(x)=x^2, but it has been changed somewhat. which of the following could be the equation of F(x)?

Answer 1

MrBillDoesMath!

Answer: B

Discussion: F(x), shown in red appears to be translated downward 3 units from G(x) and is a bit flatter (implying a scaling) from G(x). B is the likely answer. Note also that for the answer in B

F(4) = .2 (4)^2 -3 = 3.2 which is consistent with the graphs shown.

MrB

Answer 2

The equation of the resulting function F(x) is:

`F(x)=0.2x^2-3`

Hence, option: B is correct.

Explanation:

We are given a graph of the function G(x) as:

`G(x)=x^2`

We are asked to find what could be the possible representation of the function F(x).

We know that the graph of function F(x) is a horizontal stretch of the function G(x).

This means that the factor that is multiplied to G(x) is 'k'

where 0< k <1.

Also the graph is shifted 3 units vertically down hence the graph of the resulting function F(x) is:

`F(x)=0.2x^2-3`