Answer:
The correct option is B.
Step-by-step explanation:
The given function is
[tex]G(x)=x^2[/tex]
The gray curve represent the graph of function G(x)
The vertex form of the parabola is
[tex]F(x)=a(x-h)^2+k[/tex]
Where, (h,k) is the vertex and a is stretch factor.
From the given graph is clear that the vertex of F(x) is at point (1,-2) and the stretch factor is 1. So, the function F(x) is defined as
[tex]F(x)=(x-1)^2+(-2)[/tex]
[tex]F(x)=(x-1)^2-2[/tex]
Therefore the correct option is B.
