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claudineVeluya Group Title

Hi! I'm Claudine Veluya a 2nd year college student. could someone have an additional information about parabola? thank you.

  • one year ago
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  1. UnkleRhaukus Group Title
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    hello, what information about parabola do you already have?

    • one year ago
  2. claudineVeluya Group Title
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    I'm i right that Parabola is a set of all points equidistant from a line and a fixed point not on the line, the line is called the directrix, and the point is called the focus. The point on the parabola halfway between the focus and the directrix is the vertex. The line containing the focus and the vertex is the axis. A parabola is symmetric with respect to its axis.

    • one year ago
  3. sirm3d Group Title
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    also, the segment joining two points of the parabola, parallel to the directrix and through the focus is the latus rectum of the parabola.

    • one year ago
  4. claudineVeluya Group Title
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    the Latus rectum of the parabola is use if they have the given of vertex. I'm i right. sirm3d.

    • one year ago
  5. harsimran_hs4 Group Title
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    well what i suggest is that you should refer some text for parabola as it will give you better understanding

    • one year ago
  6. UnkleRhaukus Group Title
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    • one year ago
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  7. claudineVeluya Group Title
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    oh its that an example of Parabola? unkleRhaukus

    • one year ago
  8. agent0smith Group Title
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    ^ yep, any object thrown up into the air (other than straight up) follows a parabolic path due to gravity.

    • one year ago
  9. UnkleRhaukus Group Title
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    you can make a parabola by holding a string between two points

    • one year ago
  10. agent0smith Group Title
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    @UnkleRhaukus won't that make a catenary curve?

    • one year ago
  11. UnkleRhaukus Group Title
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    |dw:1361698911624:dw|

    • one year ago
  12. UnkleRhaukus Group Title
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    ok @agent0smith, your right , the hanging string is a catenary curve which is not quite the same as a parabola, but they look kinda similar

    • one year ago
  13. agent0smith Group Title
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    ^ yep and you can model them with a parabola pretty closely.

    • one year ago
  14. claudineVeluya Group Title
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    i"m right that is an example of Property of Parabolas because The tangent line at a point P on a parabola makes equal with the line through P parallel to axis of symmetry and the line through P and the focus. let P |dw:1361757582217:dw|

    • one year ago
  15. claudineVeluya Group Title
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    hi! Do you think that it is way to derive the Parabola? DERIVATION OF PARABOLA A parabola coinciding was x-axis Its vertex at the origin Its focus at the (p,o) And its directix is x=-p Where p is called distance Then we choose any point P(x,y) By the definition of parabola FP=SP (√((x-p)^2+ y^2 ))^2= (x+p)^2 (x+p)^2+y^2= (x+p)^2 x^2- 2px+y^2= x^2+ 2px+ p^2 y^2= x^2+ 2px+p^2- x^2+ 2px- p^2 〖 y〗^2=4px DERIVATION OF PARABOLA A parabola coinciding was x-axis Its vertex at the origin Its focus at the (p,o) And its directix is x=-p Where p is called distance Then we choose any point P(x,y) By the definition of parabola FP=SP (√((x-p)^2+ y^2 ))^2= (x+p)^2 (x+p)^2+y^2= (x+p)^2 x^2- 2px+y^2= x^2+ 2px+ p^2 y^2= x^2+ 2px+p^2- x^2+ 2px- p^2 〖 y〗^2=4px can you give me other way of derivation of Parabola?

    • one year ago
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