SOLUTION: The equation is f(x) = ax^2 + bx + c Given f(2) = 7 , f(0) = -3 and f(-1) = -2 , find a, b and c. Thanks for the help :)

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Question 782304: The equation is f(x) = ax^2 + bx + c
Given f(2) = 7 , f(0) = -3 and f(-1) = -2 , find a, b and c. Thanks for the help :)
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
f%282%29=4a%2B2b%2Bc=7
f%280%29=c=-3
f%28-1%29=a-b%2Bc=-2
Write the system of equations:
+system%284a%2B2b=10%2C+a-b=1%2C+c=-3%29 Solving this system we get:a=2, b=1, c=-3
Substituting these values into the initial equation we get:
f%28x%29=2x%5E2%2Bx-3.