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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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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
A parabola that opens upward?
A parabola that opens upward is a U-shaped curve where the vertex is the lowest point on the graph. It can be represented by the general equation y = ax^2 + bx + c, where a is a positive number. The axis of symmetry is a vertical line passing through the vertex, and the parabola is symmetric with respect to this line. The focus of the parabola lies on the axis of symmetry and is equidistant from the vertex and the directrix, which is a horizontal line parallel to the x-axis.
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.
