- #1
jwxie
- 282
- 0
Homework Statement
z = 2y^2 - x^2
Homework Equations
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.