anonymous
  • anonymous
Write the equation of the quadratic function with roots -1 and 1 and a vertex at (0, -3).
Mathematics
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anonymous
  • anonymous
Write the equation of the quadratic function with roots -1 and 1 and a vertex at (0, -3).
Mathematics
schrodinger
  • schrodinger
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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.

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Loser66
  • Loser66
where are you stuck?
anonymous
  • anonymous
I am just not sure of the format in which to write this type of equation. Again I was not thoroughly introduced to the unit so I am having trouble with the basics
Loser66
  • Loser66
quadratic means the exponent of x is 2, right?

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Loser66
  • Loser66
The vertex form of a quadratic is y = a(x-h)^2 +k, right?
Loser66
  • Loser66
vertex (h,k) = (0,-3) , hence y = ax^2 -3 now, it has roots, that is y =0 at those roots. Just pick x =-1, put it into the function to get a 0=a(-1)^2 -3--> a =3 now, you have all information, just plug in y = 3x^2 -3
anonymous
  • anonymous
awesome, thanks!

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