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Math Help - Help with finding the equation of a parabola

  1. #1
    Junior Member 22upon7's Avatar
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    Help with finding the equation of a parabola

    Hi,

    Could someone explain how you work through this kind of sums:

    "A parabola has x-axis intercepts 6 and -3 and passes through the point (1, 10). Find the equation of the Parabola"

    Any help would be much appreciated,

    Thanks,

    Dru
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  2. #2
    Master Of Puppets
    pickslides's Avatar
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    You have the following points (1,10),(-3,0) & (6,0)

    Use the general form y= a(x-h)^2+k and sub these points in, then solve for a,h and k.

    Here's a start

    (1,10): 10= a(1-h)^2+k

    (-3,0): 0= a(-3-h)^2+k

    (6,0): 0= a(6-h)^2+k
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  3. #3
    Master Of Puppets
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    You could even use y=ax^2+bx+c and sub these points in.

    You would have to solve the following system

    10 = a+b+c
    0= 9a-3b+c
    0=36a+6b+c
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