An asymptote is a line on the graph of a function representing a value toward which the function may approach, but does not reach (with certain exceptions).
Conic sections are those curves that can be created by the intersection of a double cone and a plane. They include circles, ellipses, parabolas, and hyperbolas.
A hyperbola is a conic section formed when the cutting plane intersects both sides of the cone, resulting in two infinite “U”-shaped curves.
A parabola is the set of points that are equidistant from a fixed point on the interior of the curve, called the '''focus''', and a line on the exterior, called the '''directrix'''. The directrix is vertical or horizontal, depending on the orientation of the parabola.
A perpendicular hyperbola has asymptotes that intersect at a angle.
To be unbounded means to be so large that no circle, no matter how large, can enclose the shape.