PRE- CAL

A set of all points in a plane that are equidistant from a fixed point called the center.

Circle

The distance from any point to any point on a circle.

Diameter

The distance from the center to any point on the circle.

Radius

Standard Form of a Circle

(x + h)² + (y + k)² = r²

General Form of a Circle

x² + y² + Dx + Ey + f = 0

A set of all points in a plane that are equidistant from a fixed line called the directrix and a fixed point called the focus.

Parabola

The lowest or highest point of a parabola.

Vertex

A line perpendicular to the axis of symmetry of a parabola and does not touch the parabola.

Directrix

A chord passing through the focus and perpendicular to the axis of symmetry.

Latus Rectum

A line that passes through the vertex and is perpendicular to the directrix.

Axis of Symmetry

Standard Form of a Parabola

y = ax² + bx + c

Vertex Form of a Parabola

y = a(x - h)² + k

A set of all points in a plane such that the sum of its distances from two fixed points on the plane is constant.

Ellipse

The plural form for focus.

Foci

Standard Form of an Ellipse

(x - h)²/a² + (y - k)²/b² = 1