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Created page with 'A paraboloid is a three-dimensional shape that has two terms of x, y, or z that are squared and one term of x, y, or z that is not. Examples of equations that describe paraboloid...'
A paraboloid is a three-dimensional shape that has two terms of x, y, or z that are squared and one term of x, y, or z that is not. Examples of equations that describe paraboloids are:
<br>ax<sup>2</sup> + by<sup>2</sup> = z
<br>or az<sup>2</sup> - by<sup>2</sup> = x
<br>When both squared terms are positive, like in the first equation, the paraboloid is an elliptical paraboloid (shaped like a roundish, eggish blob.)
<br>When one squared term is negative and one is positive, like in the second equation, the paraboloid is a hyperbolic paraboloid (shaped like a saddle.)
<br>ax<sup>2</sup> + by<sup>2</sup> = z
<br>or az<sup>2</sup> - by<sup>2</sup> = x
<br>When both squared terms are positive, like in the first equation, the paraboloid is an elliptical paraboloid (shaped like a roundish, eggish blob.)
<br>When one squared term is negative and one is positive, like in the second equation, the paraboloid is a hyperbolic paraboloid (shaped like a saddle.)