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Math Help - What kind of graph would y^2 + 8x = 0 be?

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    What kind of graph would y^2 + 8x = 0 be?

    I know it's a degenerate case because it equals 0, but it's a parabola so I'm not sure what to call it.
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: What kind of graph would y^2 + 8x = 0 be?

    y^2+8x=0 \Leftrightarrow y^2=-8x (which means their are no real solutions, only complex)

    Maybe you can consult wolphram alpha to graph y^2=-8x.
    You can just call it parabola.
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    Re: What kind of graph would y^2 + 8x = 0 be?

    Quote Originally Posted by explodingtoenails View Post
    I know it's a degenerate case because it equals 0, but it's a parabola so I'm not sure what to call it.
    This conic section is a parabola with the general equation

    (y-h)^2=4p(x-k)

    That means your equation describes a parabola opening to the left, the vertex at V(0, 0) and the p = -2 and x \le 0.
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