Answer with Step-by-step explanation:
G(x)=[tex]x^2[/tex]
when x=0 G(x)=0
F(x) is same as G(x) but shifted 2 units up
i.e. at x=0 F(x)=2
F(x)=[tex]x^2+2[/tex]
at x=0 F(x)=2
F(x)=[tex](x-2)^2[/tex]
at x=0 F(x)=4
F(x)=[tex]x^2-2[/tex]
at x=0 F(x)=-2
F(x)=[tex](x+2)^2[/tex]
at x=0 F(x)=4
Hence, correct option is:
F(x)=[tex]x^2+2[/tex]
