I have two questions. How do you find the equation of a cone given data points? I've found lots of info on the equation of a cone, but can't find anything on one that is rotated and not centered at the origin. What is the equation for a rotated translated cone? Second, given the equation of a cone, how do you figure out the equation of the axis? Side question: Does anyone know of a good way to find an equation of a cone given more data points than necesarry, which won't fit perfectly to the cone? Does anyone know of a good way to approximate the cone equation which takes into account more points? Thanks for any help.