Answer:
B. [tex]F(x)=(x+2)^4[/tex]
Step-by-step explanation:
The parent function is [tex]G(x)=x^4[/tex]
The given translation is of the form;
This shifts the graph of [tex]G(x+k)[/tex] [tex]G(x)=x^4[/tex], k units to the left.
If this function is shifted 2 units to the left, its equation will now be
[tex]F(x)=(x+2)^4[/tex]
The correct choice is B. [tex]F(x)=(x+2)^4[/tex]