Question 1057418: Find the equation of the parabola that passes through the points(3,-5), (2,0), and (4,0).
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find the equation of the parabola that passes through the points
(3,-5), (2,0), and (4,0).
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Form:: ax^2 + bx + c = y
Use (3,-5) to get: 9a + 3b + c = -5
Use (2,0) to get:: 4a + 2b + c = 0
Use (4,0) to get::16a + 4b + c = 0
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Use any method you know to solve the system to get:
a = 5
b = -30
c = 40
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Equation:: y = 5x^2 - 30x + 40
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Cheers,
Stan H.
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