Conic Sections

1
Conic Sections

• By Nick Fekaris
• Bailey Kowalski
• Brad Govan

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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/algebra/conics.htm

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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 formx24py
• x2-4py y24px y2-4px
• http//math2.org/math/algebra/conics.htm

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Circle
Circle- a closed plane curve consisting of all
points at a given distance from a point within it
called the center. Standard Form-
x2y2r2 http//math2.org/math/algebra/conics.htm
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Ellipse
The vertices for this type of ellipse is (/- a,
0). The co-vertices are (0, /-b).
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/a2y2/b21

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Ellipse cont.

• The standard form for this type of ellipse is
• x2/b2y2/a21

The vertices for this type of ellipse is (0,/-
a). The co-vertices are (/-b, 0).
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Hyperbola

• Hyperbola-the set of points in a plane whose
  distances to two fixed points in the plane have a
  constant difference.
• Standard Form-
• y2/a2-x2/b21.
• http//math2.org/math/algebra/conics.htm

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Hyperbola cont.

• The standard form for this type of hyperbola is
  x2/a2-y2/b21.