Question

F(x)=x^2+3x+2 is shifted 2 units right the reuslt is g(x) what is g(x)

Answer 1

`g(x)=x^2-x`

Explanation:

Given function is
`F\left(x\right)=x^2+3x+2`.

Function
`F\left(x\right)=x^2+3x+2` is shifted 2 units right and gives result to a new function g(x).

Now we need to find about what is the equation of g(x).

We know that f(x-h) indicates right shift by "h" units.

So to get 2 units shift, replace x by (x-2) into given function

`g(x)=F\left(x-2\right)`

`g(x)=(x-2)^2+3(x-2)+2`

`g(x)=x^2-4x+4+3x-6+2`

`g(x)=x^2-x`

Hence final answer is
`g(x)=x^2-x`.