SOLUTION: Find the quadratic function that includes each set of values. (1, 0), (2, 5), (4, 21)

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the quadratic function that includes each set of values. (1, 0), (2, 5), (4, 21)      Log On


   

Question 953094: Find the quadratic function that includes each set of values.
(1, 0), (2, 5), (4, 21)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the quadratic function that includes each set of values.
(1, 0), (2, 5), (4, 21)
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Substitute each x/y pair into
ax^2 + bx + c = y
to get 3 equations in 3 unknows (a,b,c).
Solve the system to find a,b,c.
Substitute those values into y = ax^2 + bx + c
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I get y = x^2 + 2x - 3
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Cheers,
Stan H.
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