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Math Help - quadtratics

  1. #1
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    quadtratics

    A parabola that has its vertex at the point with coordinates (-1,6) passes through the point (2,10). Find the equation of the parabola.


    could someone please help me out. all working out.
    thanxxx heaps.
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  2. #2
    o_O
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    Given a parabola in the form y = a(x-b)^{2} + c, the vertex is given as (b, c). So, knowing that (-1, 6) is our vertex, we can simply plug it in to get: y = a(x+1)^{2} + 6

    Now, we know that (2,10) is a point on the curve so we can simply substitute it in and solve for the remaining variable a.
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