SOLUTION: Find the equation of the parabola {{{ y = ax^2 + bx + c }}} that passes through the points of (0, 6), (-2, 2), and (3, 9/2). Thank you.

Algebra ->  Test -> SOLUTION: Find the equation of the parabola {{{ y = ax^2 + bx + c }}} that passes through the points of (0, 6), (-2, 2), and (3, 9/2). Thank you.      Log On


   

Question 1078309: Find the equation of the parabola +y+=+ax%5E2+%2B+bx+%2B+c+ that passes through the points of (0, 6), (-2, 2), and (3, 9/2). Thank you.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The first given point means that c=6.

ax%5E2%2Bbx=y-6


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system%28a%28-2%29%5E2%2Bb%2A%28-2%29=2-6%2Ca%283%29%5E2%2Bb%283%29=9%2F2-6%29

system%284a-2b=-4%2C9a%2B3b=9%2F2-12%2F2%29

system%282a-b=-2%2C9a%2B3b=-3%2F2%29

system%282a-b=-2%2C3a%2Bb=-1%2F2%29
Continue using Elimination Method to get a before b.

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system%28a=-1%2F2%2Cb=3%2Cc=6%29
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