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Booki
Booki asked in Science & MathematicsMathematics · 1 decade ago

ALGEBRA HELP TT______TT?

Hi everyone, so we need to make a picture using conic sections as a project and I want to know...if there is anyway to find the equation of a parabola if you ONLY have the vertex? We need to find the focus of all parabolas that is in our picture, but I can find that out IF I can find the equation. If someone can help me I would gladly appreciate it.

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  • MathMan TG
    Lv 7
    1 decade ago
    Favorite Answer

    No.

    Consider y = x^2, y = 2x^2 and any other y = a x^2.

    All have the same vertex at (0, 0)

    You need 3 points, or the equivalent.

    If one of the points is the vertex,

    then by symmetry you can deduce a third point from the second.

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