plane curve consisting of all points equidistant from a given fixed point (focus) and a given fixed line (directrix). It is the conic section cut by a plane parallel to one of the elements of the cone. The axis of a parabola is the line through the focus perpendicular to the directrix. The vertex is the point at which the axis intersects the curve. The latus rectum is the chord through the focus perpendicular to the axis.
balistic devices scribe a parabola as the path they travel.
baseballs, basketball, and bullets all travel in a parabola.
Yours: Grumpy
2006-07-29 17:49:06
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answer #1
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answered by Grumpy 6
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A conic section produced by making a planar cut parallel to a slope of a right circular cone. In general, they are used as second order approximations to many real world functions. (see taylor series) Examples include economic optimization, area optimization, ballistics, constant acceleration, and fluid mechanics. Related curves include the hyperbola, the catenary, the quartic, cosine, cosh, etc. A parabola can be produced from three points or another set of three independent restrictions, a notable example being a directrix (line = 2 restrictions) and focus (point = 1 restriction).
PoohP, comets follow hyperbolas, not parabolas.
2006-07-29 17:49:22
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answer #2
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answered by Michaelsgdec 5
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The curve plotted by quadratic equations (i.e. functions of order two); the only exponents of the independent variable are either one (1) and two (2) or just two (2). You can also have minus one (-1) combined with one (1) for the independent variable, thus yielding a quadratic. For example y [or f(x)] = 1+ X^-1 + 2x is a quadratic. Y = x^2 is a quadratic. Generally, Y = ax^2 + bx + c is a quadratice, and if you manipulate y [or f(x)] = 1+ X^-1 + 2x properly, you will get the general form.
2006-07-29 17:51:09
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answer #3
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answered by Anonymous
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the locus of all points which r equidistant from a fixed point and a fixed line is called a parabola.draw the graph of a quadratic equation u get one.throw a ball in to the air making some angle.u see a part of a parabola
2006-07-29 17:56:30
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answer #4
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answered by Anonymous
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Let L be a line and F a point not on L.
Define the set of points
P = { x | d(x,F) = d(x,L) }
where d(...,...) stands for "distance between". Then P is a parabola (and every parabola can be written in this form).
2006-07-29 18:09:09
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answer #5
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answered by dutch_prof 4
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a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line : the intersection of a right circular cone with a plane parallel to an element of the cone (webster.com)
a more simple definition is the graph of a quadratic function.
well parabola is used every where that mathematics is used.
2006-07-29 17:46:41
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answer #6
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answered by ___ 4
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The highest order variable must be squared
(for a two dimensional graph).
Many comets do a one time parabolic orbit
around the Earth before disappearing forever.
2006-07-29 17:46:32
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answer #7
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answered by PoohP 4
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when u substitute the value of x in the eq'n ax+bx^x
and plot it on a graph sheet u get a parabola
2006-07-29 18:53:27
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answer #8
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answered by rohit r 1
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hkl and DutchProf are equal and the best mathematically.
Since the question is placed in physics, I add:
When you rotate a liquid, its surface will be a paraboloid.
The cross section through its one and only axis is a parabola.
Th
2006-07-30 00:15:49
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answer #9
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answered by Thermo 6
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a set of points such that their distance between a fixed point and and a fixed line are equal.
2006-07-29 17:45:56
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answer #10
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answered by hkl 3
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