What is the intersection of a cone and a plane parallel to a line along the side of the cone? provide mathematical examples to support your opinions. you may use equations, diagrams, or graphs to organize and present your thoughts.

The answer to your question is a parabola. For the description, start with a cone and a plane that is paralell to it. Then, at the very tip of the cone, place a second cone that is defined by the continuation of the rays of the first cone. Because the plane is parallel to the first cone, the rays of the second cone must intersect it. However, because the rays form a curved objext, the intersection of the curved object and the flat plane must be a curve. Then put in the formula to define the curve. I hope that this is the answer that you were looking for and it has helped you.