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

How do I sketch the surface?

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- Aug 5th 2009, 08:54 PMorendaclSketching a surface represented by an equation
The equation is y=X^2+Z^2

How do I sketch the surface? - Aug 6th 2009, 02:07 AMCalculus26
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