Question

If f(x)=3x squared -2x + 1 what is f(x-2)

Answer 1

f(x-2) = 3x^2 - 14x + 17

Explanation:

All you have to do is put (x-2) for every x:

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

Make sure you FOIL (x-2)^2 first:

x^2 - 4x + 4

Now distribute the 3:

3x^2 - 12x + 12

Now distribute the 2 in the 2(x-2):

3x^2 - 12x + 12 - 2x + 4 + 1

Combine like terms:

3x^2 - 14x + 17 = f(x-2)

Hope that helps!