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"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
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∙ 15y ago
Anonymous
a straight line
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A parabola that opens upward?
Is a parabola whose directrix is below its vertex.
What is the name of a line that you use to define a parabola?
It is called the directrix.
The vertex is the extreme point of a parabola and is located halfway between the and directrix?
focus
The maximum or minimum of a parabola depending on whether the parabola opens up or down?
A parabola opening up has a minimum, while a parabola opening down has a maximum.
What is the diameter of a parabola?
It is the bisector of any 2 parallel chords drawn to the parabola. It is always parallel to the axis of the parabola.
What is the line that divides a parabola?
It is the axis. NOT the directrix which does not even touch the parabola.
The is the extreme point of a parabola and is located halfway between the focus and directrix?
The vertex -- the closest point on the parabola to the directrix.
What is the midpoint of the parabola between the focus and the directrix?
It is the apex of the parabola.
What is the equation of the directrix of the parabola?
The answer depends on the form in which the equation of the parabola is given. For y^2 = 4ax the directrix is x = -2a.
A parabola that opens upward?
Is a parabola whose directrix is below its vertex.
A line that helps define a parabola?
directrix
What object using a directrix and a focus?
parabola
What geometric shape has focus and directrix?
A parabola.
Why is every point on a parabola equidistant to the focus and the directrix?
Because that is how a parabola is defined!
The is the extreme point of a parabola and is located halfway between the focus and directrix.?
This extreme point on the parabola is called the vertex. In math. a parabola is a U-shaped curve with a directrix, which is a fixed straight line.
What are the steps solving a parabola?
The answer will depend onwhat you mean by "solving a parabola". A parabola has a directrix and a focus, a turning point, 0 1 or 2 roots and so on. Which of these is "solving"?The answer will depend onwhat you mean by "solving a parabola". A parabola has a directrix and a focus, a turning point, 0 1 or 2 roots and so on. Which of these is "solving"?The answer will depend onwhat you mean by "solving a parabola". A parabola has a directrix and a focus, a turning point, 0 1 or 2 roots and so on. Which of these is "solving"?The answer will depend onwhat you mean by "solving a parabola". A parabola has a directrix and a focus, a turning point, 0 1 or 2 roots and so on. Which of these is "solving"?
What object is defined using a directrix and a focus?
parabola
