Question

F(x)=x^2-3x-2 is shifted 4 units left. The result is g(x) what is g(x)

Answer 1

To solve this problem you must apply the proccedure shown below:

1. If the function
`f(x)=x^(2)-3x-2` is shifted
`4` units left, this means that you must substitute the value of
`x` by
`x+4` to find
`g(x)`, as following:

`f(x+4)=(x+4)^(2)-3(x+4)-2`

2. Now, expand the function:

`f(x+4)=x^(2) +8x+16-3x-12-2\\ f(x+4)=x^(2) +5x+2`

3. Then, you have that
`g(x)` is:

`g(x)=x^(2) +5x+2`

Therefore, the answer is:
`g(x)=x^(2) +5x+2`