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

a. f(x - 1) = x^3 - 2x^2 - x + 3
b. f(x + 1) = x^3 + 4x^2 + 3x + 1
c. f(x) - 1 = x^3 + x^2 - 2x
d. f(x) + 1 = x^3 + x^2 - 2x + 2

Question

Given the function f(x) = x^3 + x^2 - 2x + 1, what is resulting function when f(x) is shifted to the left 1 unit?

a. f(x - 1) = x^3 - 2x^2 - x + 3
b. f(x + 1) = x^3 + 4x^2 + 3x + 1
c. f(x) - 1 = x^3 + x^2 - 2x
d. f(x) + 1 = x^3 + x^2 - 2x + 2

anonymous · Answer

a.)  The f(x-1) shows the shift.

anonymous · Answer

If there were other answers, then you would have to write it out and check it.

Hope that helped

anonymous · Answer

I have another question if you don't mind?

anonymous · Answer

Graph the function f(x) = x^4 - 7x^3 + 12x^2 + 4x - 12 using graphing technology and identify for which values of x the graph is increasing. 

a. From x = -3 to x = -2
b. From x = -2 to x = -1
c. From x = 1 to x = 2
d. From x = 2 to x = 3