name and sketch the surfaces, state which axis runs through the entire surface

y=x^2-z^2

Question

name and sketch the surfaces, state which axis runs through the entire surface

y=x^2-z^2

anonymous · Answer

this would be a hyperbolic paraboloid
 i attached a pic of how it looks like

anonymous · Answer

how can i know how to graph that on paper? just by seeing the equation?

anonymous · Answer

|dw:1337156582500:dw|
something like this, right? lol

anonymous · Answer

like i have a bunch of stuff to graph in 3d, and i have no idea how to figure out what to graph when :(

anonymous · Answer

well think of a parabola in the x - y plane but instead its opening up towards the y axis and it goes positive in the x axis and negative in the z axis

anonymous · Answer

so in the x axis it goes towards positive y and in the z axis goes towards negative y

anonymous · Answer

OHHHHHHHHHH!!!! okay!!! i get it!!!
and so you can tell this.. because x is squared, so it's positive,
but z is negative ohhhhhhhhhh

anonymous · Answer

right?!

anonymous · Answer

the graph of x^2-z^2=c=constant is a hyperbola(which you can plot in 2d graph, i hope)....so for different values of constant c ,different hyperbolas are formed...so if the constant is a variable then the graph is a number of hyperbolas one over another making a 3 d hyperboloid..

anonymous · Answer

/blush can you show me on a two d graph? :X

anonymous · Answer

er..perhaps u can search for a standard hyperbola graph|dw:1337157295066:dw|