Answer:
[tex]g(x)=x^2-x[/tex]
Step-by-step explanation:
Given function is [tex]F\left(x\right)=x^2+3x+2[/tex].
Function [tex]F\left(x\right)=x^2+3x+2[/tex] 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
[tex]g(x)=F\left(x-2\right)[/tex]
[tex]g(x)=(x-2)^2+3(x-2)+2[/tex]
[tex]g(x)=x^2-4x+4+3x-6+2[/tex]
[tex]g(x)=x^2-x[/tex]
Hence final answer is [tex]g(x)=x^2-x[/tex].
