SOLUTION: f(x)= ax^2+ bx+ 5 Find a and b if f(x+1)- f(x)=8x+3 I have never had to do a problem like this so i have no work to show because i dont know how to begin. I really nedd help. Th

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Question 197603: f(x)= ax^2+ bx+ 5 Find a and b if f(x+1)- f(x)=8x+3
I have never had to do a problem like this so i have no work to show because i dont know how to begin. I really nedd help. Thank you.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)= ax^2+ bx+ 5 Find a and b if f(x+1)- f(x)=8x+3
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f(x+1) = a(x+1)^2 + b(x+1) + 5
f(x+1) = ax^2 + 2ax + a + bx + b + 5
f(x+1) = ax^2 + (2a+b)x + (a+b+5)
Now subtract f(x) = ax^2 + bx + 5 to get:
f(x+1)-f(x) = 2ax + a+b
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Cheers,
Stan H.