Analytic Geometry

line that a graph approaches as one of the variables approaches infinity or negative infinity

line that divides a graph into two halves that are mirror images

set of all points that are a fixed distance $r$ from a point called the center

one of two points on the ellipse that are endpoints of the minor axis

resulting cross section when a plane intersects a double cone

line perpendicular to the transverse axis of a hyperbola and that intersects it at the center of the hyperbola

line used with the focus to define a parabola. For any point on the parabola, the distance to the focus is equal to the distance to the directrix.

geometric figure made up of two cones that are opposite each other with their vertices at the same point

set of points such that the sum of the distances from two fixed points called the foci remains the same

fixed point used to generate a conic section

rectangle used as a guide to graph a hyperbola. The diagonals of the rectangle are the asymptotes of the hyperbola, and the vertices of the hyperbola are the midpoints of two sides of the rectangle.

set of points such that the difference of the distances from two fixed points called the foci remains the same

segment that passes through the foci of an ellipse with endpoints on the ellipse

segment with endpoints on an ellipse that is perpendicular to the major axis

set of points such that the distance from a fixed point called the focus is equal to the distance to a line called the directrix

distance from the center of a circle to a point on the circle

line that passes through the foci of a hyperbola

one of two points where the transverse axis intersects a hyperbola

midpoint of the segment from the focus to the directrix of the parabola

one of two points on the ellipse that are endpoints of the major axis