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Math Help - Parabola.

  1. #1
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    Parabola.

    Write the eq of the parabola w/ vertex at the origin that satisfies the given conditions:

    a. The focus is on the x-axis and the parabola passes through the point (3,4)
    b. The parabola opens to the left and passes through the point (-3,4)
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  2. #2
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    If the parabola passes through the origin, has the form y^2=4px . Evaluating at the given point, you can find p and the equation of the parabola.
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  3. #3
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    Wait, to be honest, I really don't know how to do that, do I just have to plug in 3, 4 as x and y's at y2=4px?
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  4. #4
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    Yep.
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  5. #5
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    If that's the case, I'll get:

    16=4(p)(3)
    p=12-16
    p=-4

    ....Lol, Correct me if I'm wrong.
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