Question

F(x)=x^2-3x-2 is shifted 4 units left. The results is g(x). What is g(x)?

Answer 1

Answer:

B. $g(x)=(x+4)^2-3(x+4)-2$

Step-by-step explanation:

The given function is

$f(x)=x^2-3x-2$

If $f(x)$ is shifted to the left 4 units and the result is $g(x)$.

Then;

$g(x)=f(x+4)$

We substitute $(x+4)$ into $f(x)=x^2-3x-2$ to find the $g(x)$.

$g(x)=(x+4)^2-3(x+4)-2$

The correct choice is B.