Question

F(x) = x2 + 3x + 2 is shifted 2 units left, the result is g(x). What is g(x)?

Answer 1

`g(x)=x^2+7 x+12`

Explanation:

since f(x)=
`x^(2)+3 x+2`

now we are given that this function f(X) is shifted 2 units to the left and we get a function g(x) this means

g(x)=f(x+2) since f(x+2) will shift the function f(x) 2 units to the left.

`g(x)=(x+2)^(2)+3(x+2)+12`

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

hence, the function g(x)=
`x^2+7 x+12`