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Page 1: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Parabola

Page 2: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Parabola

A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone.

Mathematically a parabola is a 2nd degree or quadratic function of the form

ʺf(x) = ax² + bx + c

Page 3: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Conic Sections and Shapes

Parabola

Circle

Ellipse

Hyperbola

Parallel to the side

Page 4: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Construction of a Parabola as a Section of a Cone

Page 5: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Parabolic Curve Applications

In Technology

• Parabolic Antennas & Satellites

• Solar • Parabolic Reflection

In Physics

• Parabolic Trajectory• Zero Gravity

Everyday• Nature’s Parabolas• Architecture• Home• Tools

Page 6: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Trajectory for Launched Object

Page 7: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Source: NASA-JSC

Trajectory: NASA Zero G Aircraft

Source: NASA-MSFC

Parabolic Flight

30 thousand feet

28

26 Plane at 45° Zero-G Plane at 45°

24

22

20

0 20 40

Duration (seconds)

1.8-G1.8-G

http://images.jsc.nasa.gov/
http://mix.msfc.nasa.gov/
Page 8: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Parabolic Concentration

Page 9: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Concentration Examples

RCA Satellite Antenna

Source: NASA-GRC

Applications Technology Satellite

http://grcimagenet.grc.nasa.gov/
Page 10: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Concentration ExamplesTrough Solar Dish

Source: Sandia National Laboratories

Page 11: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Parabolic Dispersion

Page 12: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Dispersion Examples

Source: www.Pics4Learning.com

Parabolic reflector

Reflected light

forms a parallel beam

directed straight ahead

Focus

Page 13: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Parabolic Curves in Sports

Source: www.Pics4Learning.com

Page 14: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Parabolic Curves in Home

Page 15: Parabola. A plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically a

Parabola


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