RWA Unit : M Concepts 4-6 : Conic Sections In Real Life

Parabola❤︎

1)

Mathematical Definition: A parabola is curved graph, it resembles an arched structure.Any point on a parabola equidistant  from a point called the focus, and a straight line called the directrix. 

http://www.mathsisfun.com/definitions/parabola.html

2)
Algebraically: The equation we use is y=(x-h)^2+k to find the axis of symmetry 

Graphically: This is what a parabola looks like graphically 

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http://www2.lv.psu.edu/ojj-rcm27/topics/parabolas.html

Key Parts: ↗️

1. Axis of Symmetry 

2. Focus 

3. Vertex 

4. Directrix

This Link will explain thoroughly and clearly the conic section of a parabola {http://www2.lv.psu.edu/ojj-rcm27/topics/parabolas.html}

Foci: The foci affect the graph because the closed the foci get to the vertex the skinner the graph gets as shown in the image below                          

                     ⬇️

http://www.lessonpaths.com/learn/i/unit-m-conic-section-applets/parabola-geogebra-dynamic-worksheet

If we move the foci farther away then the graph gets wider and opened up more like this image below
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http://www.lessonpaths.com/learn/i/unit-m-conic-section-applets/parabola-geogebra-dynamic-worksheet

3)

A real world application that i found of a parabola was a satellite dish. when the dish reflects information it bounces off and goes straight directly out. These rays are all bounced off to the same focal point. 

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http://www.geo-orbit.org/sizepgs/tuningp2.html

Video ☀︎

https://www.youtube.com/watch?v=r-KmkpxVtGg

4)

Works Cited

http://www.mathsisfun.com/definitions/parabola.html

http://www2.lv.psu.edu/ojj-rcm27/topics/parabolas.html

http://www.lessonpaths.com/learn/i/unit-m-conic-section-applets/parabola-geogebra-dynamic-worksheet

http://www.geo-orbit.org/sizepgs/tuningp2.html

http://www2.lv.psu.edu/ojj-rcm27/topics/parabolas.html

https://www.youtube.com/watch?v=r-KmkpxVtGg