SOLUTION: If y=ax^2+bx+c passes through the points (-3,10), (0,1), and (2,15) what is the value of a+b+c?

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Question 1058091: If y=ax^2+bx+c passes through the points (-3,10), (0,1), and (2,15) what is the value of a+b+c?
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
One of the points given is a y intercept. Using it to form an equation will immediately give you the value for c. With that known, you can cut your system down to two equations in two unknown coefficients. You know by this time how to solve a "linear" system of two equations in two unknowns.

a%2A0%5E2%2Bb%2A0%2Bc=1
c=1

Continue with the system
system%28%28-3%29%5E2%2Aa%2B%28-3%29b=10-1%2C%282%5E2%29a%2B2b=15-1%29.