Given the function f(x) = x^3 + x^2 − 2x + 1, what is the resulting function when f(x) is shifted to the left 1 unit?

Question

anonymous · Answer

@kirbykirby @satellite73 I honestly don't know what to do

anonymous · Answer

Transforming functions is easy
 f(x) = x^3 + x^2 − 2x + 1
x = af( b(x + c) ) + d  . Each letter does something different. 
c shifts things left or right
so the new function, you'll be putting a 1 in the transform it
f(x) = (x+1)^3 + (x+1)^2 − (2x+1) + 1

anonymous · Answer

i have no idea why those weird symbols showed up but ignore them

anonymous · Answer

$$ f(x + 1) = x^3 + 4x^2 + 3x + 1$$

anonymous · Answer

f(x) - 1 = x^3 + x^2 - 2x

f(x) + 1 = x^3 + x^2 - 2x + 2

anonymous · Answer

@ohmai which one would it be?

anonymous · Answer

Its the first one