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Math Help - Sketching a surface represented by an equation

  1. #1
    Junior Member
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    Sketching a surface represented by an equation

    The equation is y=X^2+Z^2

    How do I sketch the surface?
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  2. #2
    MHF Contributor Calculus26's Avatar
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    Like with functions of one variable there are certain standard graphs to

    familiarize yourself with

    z= x^2 +y^2 is a parabaloid opening up. If you are not familiar with this

    consider the cross - sections z= constant x= constant y = constant to convincew yourself

    y= x^2 + z^2 is a parabaloid whose central axis is along the y axis

    so it is a parabaloid opening to the right along the y axis
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