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:
The equation of the resulting function F(x) is:
[tex]F(x)=0.2x^2-3[/tex]
Hence, option: B is correct.
Step-by-step explanation:
We are given a graph of the function G(x) as:
[tex]G(x)=x^2[/tex]
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:
[tex]F(x)=0.2x^2-3[/tex]
