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forum.virtualchallengemeets.com • View topic - parabola

parabola

What could be so hard. It's a multiple-choice test for Pete's sake.

parabola

Postby Salvadoramerican » Mon Feb 13, 2012 1:08 pm

finding the equation of a parabola given 3 points, one x-intercept, y-intercept, and a any point
MacArthur HS-Irving
Region 1 5A

Officially retire: It was an honor to compete against Dominic Yurk and his school, Paschal High(I attended Freshmen year there), in Science, gave a good fight.
It was a pleasure to compete with everyone in math thanks guys
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Re: parabola

Postby bradp » Mon Feb 13, 2012 2:23 pm

Given three points (x1,y1), (x2,y2), and (x3,y3) on the parabola y=ax^2+bx+c, all three points must satisfy the parabola's equation:

y1 = ax1^2+bx1+c
y2=ax2^2+bx2+c
y3=ax3^2+bx3+c

we know the 'y's and 'x's, so it's a system of three equations with three unknowns. Solve for a,b,c
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