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.