the set of all points in a plane such that the sum of the distances from two given points in the plane, called foci, is constant

Back

asymptote

Front

a line that a graph approaches but never crosses

Back

transverse axis

Front

the segment of length 2a whose endpoints are the vertices of a hyperbola

Back

conjugate axis

Front

the segment of length 2b units that is perpendicular to the transverse axis at the center

Back

parabola

Front

the set of all points in a plane that are the same distance from a given point, called the focus, and a given line called the directrix

Back

minor axis

Front

the shorter of the two line segments that from the axes of symmetry of an ellipse

Back

center of a hyperbola

Front

the midpoint of the segment whose endpoints are the foci

Back

conic section

Front

any figure that can be obtained by slicing a double cone

Back

Midpoint Formula

Front

add the x coordinates, divide by 2. Add the y coordinates, divide by 2

Back

hyperbola

Front

the set of all points in the plane such that the absolute value of the difference of the distance from two given points in the plane, called foci, is constant

Back

focus of a parabola

Front

the point a parabola is wrapped around

Back

center of a circle

Front

the point from which all points on a circle are equidistant

Back

Distance Formula

Front

the square root of the sum of the squares of the differences of the x and y coordinates

Back

center of an ellipse

Front

the point at which the major and minor axis of an ellipse intersect

Back

latus rectum

Front

the segment through the focus of a parabola and perpendicular to the axis of symmetry

Back

vertex of a hyperbola

Front

the point on each branch nearest the center of a hyperbola

Back

tangent

Front

a line that intersects a circle at exactly one point

Back

major axis

Front

the longer of the two line segments that form the axes of symmetry of an ellipse

Back

vertex of a parabola

Front

the point at which the axis of symmetry intersects a parabola

Back

circle

Front

the set of all points in a plane that are equidistant from a given point in the plane, called the center