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What is the relationship between the hyperbola equation and the equation for the hyperbola asymptotes?
Wiki User
∙ 12y ago
If the equation of a hyperbola is
( x² / a² ) - ( y² / b² ) = 1,
then the joint of equation of its Asymptotes is
( x² / a² ) - ( y² / b² ) = 0.
Note that these two equations differ only
in the constant term.
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Wiki User
∙ 12y ago
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There is a relationship between the in the hyperbola's equation and the equations for the hyperbola's asymptotes?
denominators
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There is a relationship between the denominators in the hyperbola's equation and the equations for the hyperbola's?
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Define asymotote and explain the relationship between a hyperbola and its asymptotes?
An asymptote of a curve is a line where the distance of the curve and line approach zero as they tend to infinity (they get closer and closer without ever meeting) If one zooms out of a hyperbola, the straight lines are usually asymptotes as they get closer and closer to a specific point, yet do not reach that point.
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What is the major difference between the equation for a hyperbola and for an ellipse?
ellipse are added hyperbola are subtracted
How does an increase in eccentricity affect the shape of a hyperbola?
Hyperbolae with different eccentricities have a different angle between their asymptotes.
The major difference between the equation for a hyperbola and for an ellipse is the operation performed. the terms in the equation of a blank are added?
Ellipse
What mathematical relationship between variables is suggested by a graph showing a hyperbola?
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What is observed in a scatter-plot that has an inverse relationship between x and y?
A right hyperbola shape.
An equation that expresses a relationship between measurements?
A formula is an equation that expresses a relationship between measurements.
The major difference between the equation for a hyperbola and for an ellipse is the operation performed?
Both the ellipse and the hyperbola has an x squared and a y squared term. In the ellipse, they are both positive. In the hyperbola, one of them is negative. Example: 3x^2 /36 + 5y^2 / 64 = 1 (ellipse) 3x^2 / 36 - 5y^2 / 64 = 1 (hyperbola)
