A parabola? Sort of...
Zero is nice, but you WILL need a few more values.
Alternatively, of course, you could get some awesome software.
given that f(x,y) = x^4 + y^ 4 -4xy+4
how do you plot contours for this function so as to show how this function looks like?
what i tried was to let x=0, then z = y^ 4 +4 parabola
let y=0 such that z=^4 +4 parabola
and then let z=0...but i do not know how the function will look when z=0.
after doing these 3 parts, how do i find the contours?
or is there another simplier method to do this?