Transcript Conic Sections By: Nick Fekaris Bailey Kowalski Brad Govan

Conic Sections
By: Nick Fekaris
Bailey Kowalski
Brad Govan
What is a Conic Section?
Conic Section- (noun); a
curve formed by the
intersection of a plane
with a right circular
cone; and ellipse, a
circle, etc.
http://math2.org/math/al
gebra/conics.htm
Parabola
• Parabola- (noun); a
plane curve formed
by the intersection of
a right circular cone
with a plane parallel
to a generator of the
cone.
Standard form:x2=4py
x2=-4py y2=4px y2=-4px
http://math2.org/math/al
gebra/conics.htm
Circle
Circle- a closed plane
curve consisting of all
points at a given
distance from a point
within it called the
center.
Standard Formx2+y2=r2
http://math2.org/math/algebra/conics.htm
The vertices for this type of ellipse is
(+/- a, 0).
The co-vertices are (0, +/-b).
Ellipse
http://math2.org/math/
algebra/conics.htm
• Ellipse- all points
found by keeping
the sum of the
distances from two
points (each of
which is called a
focus of the ellipse)
constant.
• Standard form:
x2/a2+y2/b2=1
Ellipse cont.
• The standard form for
this type of ellipse is
x2/b2+y2/a2=1
The vertices for this type of ellipse is
(0,+/- a). The co-vertices are (+/-b, 0).
Hyperbola
• Hyperbola-the set of
points in a plane whose
distances to two fixed
points in the plane have a
constant difference.
• Standard Formy2/a2-x2/b2=1.
http://math2.org/math/al
gebra/conics.htm
Hyperbola cont.
• The standard form for
this type of hyperbola
is x2/a2-y2/b2=1.