SOLUTION: write the equation of the quadratic equation whose graph passes through each set of points. (-3,2), (-1,0), and (1,6) using the elimination process. write in standard Form.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: write the equation of the quadratic equation whose graph passes through each set of points. (-3,2), (-1,0), and (1,6) using the elimination process. write in standard Form.      Log On


   

Question 922793: write the equation of the quadratic equation whose graph passes through each set of points. (-3,2), (-1,0), and (1,6) using the elimination process. write in standard Form.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
y=ax%5E2%2Bbx%2Bc
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2=a%28-3%29%5E2%2Bb%28-3%29%2Bc
1.9a-3b%2Bc=2
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0=a%28-1%29%5E2%2Bb%28-1%29%2Bc
2.a-b%2Bc=0
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6=a%281%29%5E2%2Bb%281%29%2Bc
3.a%2Bb%2Bc=6
Subtract eq. 2 from eq. 1 and eq. 3 to eliminate c.
9a-3b%2Bc-a%2Bb-c=2-0
8a-2b=2
4.4a-b=1
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a%2Bb%2Bc-a%2Bb-c=6-0
2b=6
5.b=3
Substitute into eq. 5,
4a-3=1
4a=4
a=1
Finally, use any equation to solve for c.
1%2B3%2Bc=6
c=2
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highlight%28y=x%5E2%2B3x%2B2%29