An visual representation of the eccentricity of a hyperbola.

Use the sliders to change the shape of the curve.
1) What happens to the curve and it's equation as you change the value of a?
2) What happens to the curve as e increases towards 1?
3) What happens to the curve and the equation when e = 1?
4) What happens to the curve as e decreases towards 0?
5) What does the curve become when e = 0?