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A parabola.

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14y ago
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Q: What geometric shape has focus and directrix?
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What is the directrix of a parabola?

"From the geometric point of view, the given point is the focus of the parabola and the given line is its directrix. It can be shown that the line of symmetry of the parabola is the line perpendicular to the directrix through the focus. The vertex of the parabola is the point of the parabola that is closest to both the focus and directrix."-http://www.personal.kent.edu/~rmuhamma/Algorithms/MyAlgorithms/parabola.htm"A line perpendicular to the axis of symmetry used in the definition of a parabola. A parabola is defined as follows: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is the locus, or set of points, such that the distance to the focus equals the distance to the directrix."-http://www.mathwords.com/d/directrix_parabola.htm


What object using a directrix and a focus?

parabola


What object is defined using a directrix and a focus?

parabola


What is the midpoint of the parabola between the focus and the directrix?

It is the apex of the parabola.


Which best describes a parabola?

Given a straight line (a directrix) and a point (the focus) which is not on that line, a parabola is locus of all points whose distance form the directrix is the same as its distance from the focus.


The directrix and focus are different distances from a given point on the parabola. A. True B. False?

FALSE. One of the definitions of a parabola, and also a means of drawing it, is that EVERY point on it is equidistant from the focus and the directrix.


The directrix and focus are the same distance from a given point on the parabola?

true


The vertex is the extreme point of a parabola and is located halfway between the and directrix?

focus


A parabola is defined as all points equidistant from a given directrix and focus.?

true


Why is every point on a parabola equidistant to the focus and the directrix?

Because that is how a parabola is defined!


What is the relationship between the focus and directrix?

i assume this is locus you are talking about, in which case: they are both the same distance from the vertex - focal length, focus is a point: P(x,y) and directrix is a horizontal line e.g. y=-1


The vertex is the extreme point of a parabola and is located halfway between the focus and?

focus directrix