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

Construct a hyperboloid of one sheet whose axis of symmetry is the y-axis.

2. Relevant equations

Hyperboloid of One Sheet --> x^2 + y^2 - z^2 = c

3. The attempt at a solution

The relevant equation is the one given in the book and in my notes. Obviously I can have this shape in other axes. I know that I am supposed to try and visualise the shapes in 3space, but it's a skill that I find very difficult to grasp.

In the above equation, I've got in:

x/y plane: circle

x/z plane: hyperbola

y/z plane: hyperbola

I'm unsure how to determine the axis of rotation and would be grateful for any help in visualising the shape.

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# How to Find Access of Symmetry in Quadric Surface?

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