(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

z = 2y^2 - x^2

2. Relevant equations

3. The attempt at a solution

I kind of know how to do it.

z = y^2/b^2 - x^2/a^2 the first power is the axis of paraboloid.

let x = k thus z = 2y^2 - k^2 and the vertex of this parabola (if x = 0 we see it is a parabola), v = (k, 0, -k^2)

if now x = k, the vertex becomes v = (0,0,0)

so far, do you guys agree?

similarly, for y = k v = (0,k, 2y^2) and when y = 0, we have v = (0,0,0)

and for z = k, we find z = k = 2y^2 - x^2 gives us a hyperbola.

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# Homework Help: Hyperbolic paraboloid

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