The equation is y=X^2+Z^2
How do I sketch the surface?
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