anonymous
  • anonymous
What is the quadratic equation that goes through the points (-8,0) and (4,5) to find the a,b,c of the parabola
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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anonymous
  • anonymous
You only have three points, so you'll end up with an infinite number of parabolas. Were you only given two points?
anonymous
  • anonymous
Two points, I meant to say.
anonymous
  • anonymous
Yes, so i guess i need to find the vertex, which would then give me 3 points right?

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anonymous
  • anonymous
Well, two points won't be enough. You have two linear equations given your points: \[64a-8b+c=0\]and\[16a+4b+c=5\] You need three linearly independent equations for a unique solution (a, b, c).
anonymous
  • anonymous
So can the just be a quadratic equation with 2 points? Or to do anything with this problem would I need 3 points?
anonymous
  • anonymous
You can get *something* out of it, though you won't get something unique. You'll get an infinite number of possibilities. You can solve those two equations to get\[b=4a+\frac{5}{12}\]and then sub. that back to find \[c=\frac{10}{3}-32a\]but this will be as far as you can get. You now have the choice of any 'a' you wish, and the equations for b and c will give you a quadratic that will contain your points.
anonymous
  • anonymous
Okay thanks!
anonymous
  • anonymous
No probs. Just check those equations. I did them on-the-fly.

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