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The directrix of a parabola can be found using its standard form equation. For a parabola that opens upwards or downwards, given by (y = ax^2 + bx + c), the directrix is located at (y = k - \frac{1}{4p}), where (k) is the vertex's y-coordinate and (p) is the distance from the vertex to the focus. For a parabola that opens sideways, the directrix is given by (x = h - \frac{1}{4p}), where (h) is the vertex's x-coordinate. The value of (p) can be determined based on the coefficients of the quadratic equation.
What else can I help you with?
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.
Is it true or false that the directrix and focus are different distances from a given point on a parabola?
True. In a parabola, any point on the curve is equidistant from the focus and the directrix. This means that while the distances to the focus and directrix are equal for points on the parabola, they are different distances from any point not on the parabola.
If the distance from the green point on the parabola to the parabola's focus is 7 What is the distance from the green point to the directrix?
In a parabola, the distance from any point on the curve to the focus is equal to the distance from that point to the directrix. If the distance from the green point on the parabola to the focus is 7, then the distance from the green point to the directrix is also 7. Therefore, the distance from the green point to the directrix is 7.
What object using a directrix and a focus?
parabola
What geometric shape has focus and directrix?
A 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 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.
What is the midpoint of the parabola between the focus and the directrix?
It is the apex of the parabola.
Is it true or false that the directrix and focus are different distances from a given point on a parabola?
True. In a parabola, any point on the curve is equidistant from the focus and the directrix. This means that while the distances to the focus and directrix are equal for points on the parabola, they are different distances from any point not on the parabola.
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
If the distance from the green point on the parabola to the parabola's focus is 7 What is the distance from the green point to the directrix?
In a parabola, the distance from any point on the curve to the focus is equal to the distance from that point to the directrix. If the distance from the green point on the parabola to the focus is 7, then the distance from the green point to the directrix is also 7. Therefore, the distance from the green point to the directrix is 7.
A line that helps define a parabola?
directrix
What geometric shape has focus and directrix?
A parabola.
What object using a directrix and a focus?
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.
