Pre cal q1

Conic section

is the intersection of a plane and a cone. and particular class of curves obtained from the intersection of a plane and a cone.

Circle

When the plane is horizontal

Ellipse

when the plane intersects only one cone to form a bounded curve.

Parabola

when the plane intersects only one cone to form an unbounded curve.

Hyperbola

when the plane intersects both cones to form two unbounded curves.

Circle

set of all points that are equidistant from a fixed point on a plane.

Radius

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

Circle

named by it's center

Center

A fixed point that is denoted by (h,k).

Standard Form Of a Circle

(x-h)² + (y-k)² = r²

Standard Form of a Circle at origin

x²+y²=r²

Center and Midpoint Formula

Xm = x1+ x2 / 2 Ym = y1 + y2 / 2

Center and Midpoint Formula

It is used to find the center when the endpoints of a diameter of the circle are identified.

Ellipse

is a conic section formed by the intersection of a plane with a cone,where the plane is not parallel to the base of the cone.

Horizontal Ellipse

Ellipse having the major axis on the x-axis.

Vertical Ellipse

Ellipse having the major axis on the y-axis.

Lactus rectums

it is a segment containing the focus, with endpoints on the parabola and perpendicular to the axis of symmetry.

Focal Distance

the distance from vertex to the focus (or directrix) is called the.

Vertex

Is the point that lies on the axis of symmetry and turning point of the curve.

Minor axis

the line segment through the center perpendicular to the principal axis and with endpoints on the ellipse

Co-vertices

the endpoints of the minor axis.

Axis of symmetry

Divides the parabola into two parts.

Focus

part of the parabola that is the fixed point.

Major axis

the line segment joining the vertices

Vertices

it is two points on the principal axis

Principal Axis

The vertices line through the foci of an ellipse

Center

it is midpoint of major axis