Parabola.

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Presentation transcript:

Parabola

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

Conic Sections and Shapes Parabola Circle Ellipse Parallel to the side Hyperbola

Construction of a Parabola as a Section of a Cone

Parabolic Curve Applications In Technology Parabolic Antennas & Satellites Solar Parabolic Reflection In Physics Parabolic Trajectory Zero Gravity Everyday Nature’s Parabolas Architecture Home Tools

Trajectory for Launched Object

Trajectory: NASA Zero G Aircraft 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-G Source: NASA-MSFC Source: NASA-JSC

Parabolic Concentration

Concentration Examples RCA Satellite Antenna Source: NASA-GRC Applications Technology Satellite

Concentration Examples Trough Solar Dish Source: Sandia National Laboratories

Parabolic Dispersion

Reflected light forms a parallel beam directed straight ahead Dispersion Examples Parabolic reflector Reflected light forms a parallel beam directed straight ahead Focus Source: www.Pics4Learning.com

Parabolic Curves in Sports Source: www.Pics4Learning.com

Parabolic Curves in Home

Parabola