First, the functions of the options B. and D. are not quadratic functions because their degree is 1.
On the other hand, the simplest parabola,
[tex]y=x^2[/tex]Is known as the Parent Quadratic Function, because all other parabolas, or quadratic functions, can be obtained from this graph by one or more transformations.
Therefore, the correct answer is
[tex]A\text{. }F(x)=x^2[/tex]