SOLUTION: What is the equation of the parabola that goes through the points (2, –1), (1, 3), and (0, 13)?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: What is the equation of the parabola that goes through the points (2, –1), (1, 3), and (0, 13)?      Log On


   



Question 144307: What is the equation of the parabola that goes through the points
(2, –1), (1, 3), and (0, 13)?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the equation of the parabola that goes through the points
(2, –1), (1, 3), and (0, 13)?
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The equation form is y = ax^2+bx+c
Substitute each x/y pair into the form to get three equations in a,b,c
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Solve the system of three equations to find a,b,and c.
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Solution:
y = 3x^2-13x+1
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Cheers,
Stan H.