SOLUTION: If f(x)=ax^2+bx+c and f(x+3)=x^2+7x+4 , what is a,b,c

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Question 497803: If f(x)=ax^2+bx+c and f(x+3)=x^2+7x+4 , what is a,b,c
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!

Since f%28x%2B3%29=x%5E2%2B7x%2B4, equalizing the coefficients we write: a=1; 6a+b=7 =>
b=7-6=1; and 9a+3b+c=4 => c=4-9-3=-8
Answer:a=1, b=1, and c=-8