SOLUTION: Given g(x)=2x^2-x+1 find g(x+h) Ive set it up g(x+h)=2(x+h)^2-(x+h)+1 and so far I have 2x^2 and then I don't know the rest. Please Help

Algebra ->  Functions -> SOLUTION: Given g(x)=2x^2-x+1 find g(x+h) Ive set it up g(x+h)=2(x+h)^2-(x+h)+1 and so far I have 2x^2 and then I don't know the rest. Please Help       Log On


   

Question 1066192: Given g(x)=2x^2-x+1
find g(x+h)
Ive set it up g(x+h)=2(x+h)^2-(x+h)+1
and so far I have 2x^2 and then I don't know the rest.
Please Help
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Input is x+h instead of just x.

g%28x%2Bh%29=2%28x%2Bh%29%5E2-%28x%2Bh%29%2B1

2%28x%5E2%2B2hx%2Bh%5E2%29-x-h%2B1

2x%5E2%2B4hx%2B2h%5E2-x-h%2B1

2x%5E2%2B4hx-x%2B2h%5E2-h%2B1

2x%5E2%2B%284h-1%29x%2B2h%5E2-h%2B1
either of the last two forms might be what you want.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Given g(x)=2x^2-x+1
find g(x+h)
Ive set it up g(x+h)=2(x+h)^2-(x+h)+1
and so far I have 2x^2 and then I don't know the rest.
Please Help 
g%28x%29+=+2x%5E2+-+x+%2B+1

g%28x+%2B+h%29+=+2%28x+%2B+h%29%5E2+-+%28x+%2B+h%29+%2B+1}} <======== You're correct up to here

g%28x+%2B+h%29+=+2%28x%5E2+%2B+2hx+%2B+h%5E2%29+-+x+-+h+%2B+1 ------ FOILING/DISTRIBUTING

g%28x+%2B+h%29+=+2x%5E2+%2B+4hx+%2B+2h%5E2+-+x+-+h+%2B+1

That's it!!