PRE-CAL REVIEWER

Circle

formed by intersecting a cone with a plane that is perpendicular to the axis of the cone or parallel to the base

radius

it is a set of all points having the same fix distance

center

fixed point

parabola

is formed when a plane parallel to the generator of the cone intersects the cone

directrix

it is the set of all points in a plane that are equidistant from a fixed line

focus

fixed point of the plane

Lactus Rectum

the line segment that passes through the focus perpendicular to the axis of symmetry

vertex

lowest or highest point of the parabola

axis of symmetry

is the line that passes through the vertex and is perpendicular

ellipse

is the set of all points in a plane such that the sum of their distances from two fixed points is a constant

vertex

endpoint of the major axis

center

of an ellipse is the point of intersection of the major and minor axes.

hyperbola

is the set of all points (𝑥, 𝑦) in a plane such that the difference of the distances between (𝑥, 𝑦) and the foci is a positive constant.

transverse axis

is a line segment that passes through the center of the hyperbola and has vertices as its endpoints.

conjugate axis

is perpendicular to the transverse axis and has the co-vertices as its endpoints.

center

is the midpoint of both the transverse and conjugate axes, where they intersect.

central rectangle

is centered at the origin with sides that pass through each vertex and co-vertex; it is a useful tool for graphing the hyperbola and its asymptotes.