SOLUTION: IF g(x)= 2x^2-2x-4, find the following... PROBLEM: g(x-2) how do solve this i understand that i plug (x-2) into all of the x places, yet i do not understand how to go from t

Algebra ->  Equations -> SOLUTION: IF g(x)= 2x^2-2x-4, find the following... PROBLEM: g(x-2) how do solve this i understand that i plug (x-2) into all of the x places, yet i do not understand how to go from t      Log On


   



Question 136843: IF g(x)= 2x^2-2x-4, find the following...
PROBLEM: g(x-2)
how do solve this i understand that i plug (x-2) into all of the x places, yet i do not understand how to go from there?
this is as far as i can get..
2(x-2)^2-2(x-2)-4
DOES THE x-2 THAT IS SQUARED LOOK LIKE (x-2)(x-2) OR SHOULD I DO SOMETHING DIFFERENT? PLEASE HELP

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
You are on the right track.
Plug in (x-2) in all the places where x was.
g%28x-2%29+=+2%28x-2%29%5E2-2%28x-2%29-4
g%28x-2%29+=+2%28x%5E2-4x%2B4%29+-+2x%2B4+-+4
g%28x-2%29+=+2x%5E2+-8x+%2B8+-+2x+
g%28x-2%29+=+2x%5E2+-10x+%2B8+ some folks would be OK with this answer
g%28x-2%29+=+2x%5E2+-+2x+-+4+-8x+%2B+12
g%28x-2%29+=+g%28x%29+-+8x+%2B+12 other folks would want you to state in terms of g(x)