Answer:
B. [tex]g(x)=(x+4)^2-3(x+4)-2[/tex]
Step-by-step explanation:
The given function is
[tex]f(x)=x^2-3x-2[/tex]
If [tex]f(x)[/tex] is shifted to the left 4 units and the result is [tex]g(x)[/tex].
Then;
[tex]g(x)=f(x+4)[/tex]
We substitute [tex](x+4)[/tex] into [tex]f(x)=x^2-3x-2[/tex] to find the [tex]g(x)[/tex].
[tex]g(x)=(x+4)^2-3(x+4)-2[/tex]
The correct choice is B.
