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The focus of a parabola is a fixed point that lies on the axis of the parabola "p" units from the vertex.
It can be found by the parabola equations in standard form:
(x-h)^2=4p(y-k)
or
(y-k)^2=4p(x-h)
depending on the shape of the parabola.
The vertex is defined by (h,k). Solve for p and count that many units from the vertex in the direction away from the directrix. (your focus should be inside the curve of your parabola)
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What is the midpoint of the parabola between the focus and the directrix?
It is the apex of the parabola.
The distance from the green point on the parabola to the parabola's focus is 9 What is the distance from the green point to the directrix?
9
What is the name of the point to define a parabola?
It's the focus LOcs!!
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 the same distance from a given point on the parabola?
true
What is the point directly above the focus?
The point directly above the focus is the vertex of the parabola. The focus is a specific point on the axis of symmetry of the parabola, and the vertex is the point on the parabola that is closest to the focus.
What is the midpoint of the parabola between the focus and the directrix?
It is the apex of the parabola.
How many foci does a parabola have?
A parabola has a single focus point. There is a line running perpendicular to the axis of symmetry of the parabola called the directrix. A line running from the focus to a point on the parabola is going to have the same distance as from the point on the parabola to the closest point of the directrix. In theory you could look at a parabola as being an ellipse with one focus at infinity, but that really doesn't help any. ■
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
Why is every point on a parabola equidistant to the focus and the directrix?
Because that is how a parabola is defined!
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"?
Does focus has any importance in a parabola?
Only that it defines the parabola! Other than that, it is irrelevant.
What object using a directrix and a focus?
parabola
What geometric shape has focus and directrix?
A parabola.
What is the extreme point of a parabola that is located halfway between the focus and directrix called?
It is the vertex of the parabola.
What does the term latus rectum of parabola mean?
The latus rectum of a parabola is a segment with endpoints on the parabola passing through the focus and parallel to the directrix.
What is the equation of a parabola with a vertex at 0 0 and a focus at 0 6?
The standard equation for a Parabola with is vertex at the origin (0,0) is, x2 = 4cy if the parabola opens vertically upwards/downwards, or y2 = 4cx when the parabola opens sideways. As the focus is at (0,6) then the focus is vertically above the vertex and we have an upward opening parabola. Note that c is the distance from the vertex to the focus and in this case has a value of 6 (a positive number). The equation is thus, x2 = 4*6y = 24y
