Question

Reduce to standard form, classify the surface, sketch.
x^2+2y-2z^2=0

Answer 1

a) standard form
\[y=z^2-(x^2)/2\]
clearly this is a hyperbola on xz

Answer 2

but then we have
z=0, y=(-x^2)/2 what is that?

Answer 3

parabola because x is squared?

Answer 4

I can get this shape from parabola on xy and hyperbola on xz but can't figure out how to draw the other one =.= @zepdrix

Answer 5

if this is even right hehe

Answer 6

aha!! but how does this look at the ends?!