Question

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

Answer 1

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

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.