Graph $x^2+y^2+z^2/4=1$

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Graph $x^2+y^2+z^2/4=1$

I want to know what would be the graph of the equation

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1 Answer

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One may recognize an ellipsoid, a particular quadric surface. If one chooses a cartesian coordinate system, such that the origin is the center of the ellipsoid, and the coordinate axes are axes of the ellipsoid, the implicit equation of the ellipsoid has the standard form: $$ {x^2 \over a^2}+{y^2 \over b^2}+{z^2 \over c^2}=1. $$The line segments from the origin to the points $(a,0,0),(0,b,0),\,(0,0,c)$ are called the ''semi-principal axes'' of the ellipsoid.

Can you apply it to the given equation?

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