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What is foci of hyperbola?
A half of a hyperbola is defined as the locus of points such that the distance of the point from one fixed point (a focus) and its distance from a fixed line (the directrix) is a constant that is greater than 1 (the eccentricity). By symmetry, a hyperbola has two foci and two directrices.
What is the point farthest up down to the right or to the left on a parabola on a half of a hyperbola?
The point farthest up, down, to the right, or to the left on a parabola that is part of a hyperbola depends on the specific orientation and equation of the hyperbola. For example, in the case of a hyperbola oriented horizontally, the branches extend infinitely to the left and right, while the vertex of the associated parabola will determine the maximum or minimum point vertically. Therefore, the exact coordinates would require knowing the specific equations involved. In general, the parabola's vertex will provide the extreme vertical points, while the asymptotes of the hyperbola will guide the horizontal extremes.
What shape is a possible cross section of a cone?
A point, a straight line, a circle, an ellipse, a parabola and half a hyperbola.
How many foci does half of a hyperbola have?
2
For a hyperbola that opens left and right the value a equals half the length of the hyperbola's transverse axis?
true
The length of a hyperbola's transverse axis is equal to the the distances from any point on the hyperbola to each focus.?
difference between
Find an equation for the hyperbola with foci and asymptotes?
find the constant difference for a hyperbola with foci f1 (5,0) and f2(5,0) and the point on the hyperbola (1,0).
The length of a hyperbola's transverse axis is equal to the the distances from any point on the hyperbola to each focus?
difference between
In the standard equation for a hyperbola that opens left and right the value b equals half the length of the hyperbola's transverse axis?
True
In the standard equation for a hyperbola that opens up and down the value b equals half the length of the hyperbola's transverse axis?
true
What is the hyperbola's point halfway between its two vertices?
Center
What is a point that helps define an ellipse parabola and hyperbola?
focus
