math Flashcards
A ____ is the set of all points in the plane equidistant from a fixed-point “F” and a fixed line “I” containing F.
parabola
The fixed point is called the ____, while the fixed line is the directrix.
focus
The ____ divides the parabola into two parts.
axis of symmetry
The ___\ of the parabola is a point on that lies on the axis of symmetry.
Vertex
The distance from the vertex to the focus (or directrix) is called the ___ (a).
focal distance
The ___is a segment containing the focus, with endpoints on the parabola and perpendicular to the axis of symmetry.
latus rectum
(h, k+ a)
y= k-a
Upward
(h, k- a)
y=k+a
Downward
(h + a, k)
x= h-a
To the right
(h-a, k) x=h+a
To the left
An ____ is determined by a constant and two fixed points, each called a focus point.
ellipse
-The line through the foci of an ellipse is called its
principal axis
-Two points on the principal axis are called vertices and the line segment joining them is called the .
major axis
-The midpoint of the major axis is called the ___ of the ellipse
center
-The line segment through the center, perpendicular to the principal axis and with endpoints on the ellipse is called
minor axis
-The endpoints of the minor axis are called .
co-vertices
, is determined by a constant and two fixed points each called a focus point.
hyperbola
- is the difference between two distances is constant.
Hyperbola