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What equations describs a hyperbola?

Updated: 4/28/2022
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Ax2 - By2 + Cx + Dy + Exy + F = 0 with A and B having opposite signs

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Q: What equations describs a hyperbola?
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What are the followings-hyberbola-asymptotes of hyperbola-centre of hyperbola-conjugated diameter of hyperbola-diameter of hyperbola-directrices of hyperbola-eccentricity of hyperbola?

Asymptotes are the guidelines that a hyperbola follows. They form an X and the hyperbola always gets closer to them but never touches them. If the transverse axis of your hyperbola is horizontal, the slopes of your asymptotes are + or - b/a. If the transverse axis is vertical, the slopes are + or - a/b. The center of a hyperbola is (h,k). I don't know what the rest of your questions are, though.


How do you tell between a parabola and a circle by just looking at their equations?

The equations for any conic section (which includes both parabolas and circles) can be written in the following form: Ax^2+Bxy+Cy^2+Dx+Ey+F=0 Some terms might be missing, in which case their coefficient is 0. The way to figure out if the equation is a parabola, circle, ellipse, or hyperbola is to look at the value of B^2-4AC: If it's negative, the graph is an ellipse (of which a circle is a special case). If it's 0, the graph is a parabola. If it's positive, the graph is a hyperbola. The special case of a circle happens when B is 0 -- there is no "xy" term -- and A=C.


What are characteristics of the graph of the reciprocal parent function?

It is a hyperbola, it is in quadrants I and II


Which equations is the translation 2 units left of the graph of y x?

Since there are no "following" equations, the answer is NONE OF THEM.Since there are no "following" equations, the answer is NONE OF THEM.Since there are no "following" equations, the answer is NONE OF THEM.Since there are no "following" equations, the answer is NONE OF THEM.


What is the definition of the word hyperbolic?

"Exaggerated" or related to the shape of a "hyperbola" (which looks kind of like a U) in math.

Related questions

There is a relationship between the denominators in the hyperbola's equation and the equations for the hyperbola's?

denominators


There is a relationship between the in the hyperbola's equation and the equations for the hyperbola's asymptotes?

denominators


What is the relationship between the hyperbola equation and the equation for the hyperbola asymptotes?

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. ____________________________________________ Happy To Help ! ____________________________________________


What are the Applications of partial diffrential equations?

in case of finding the center of the ellipse or hyperbola for which axis or non parallel to axis we apply partial differential


What are the followings-hyberbola-asymptotes of hyperbola-centre of hyperbola-conjugated diameter of hyperbola-diameter of hyperbola-directrices of hyperbola-eccentricity of hyperbola?

Asymptotes are the guidelines that a hyperbola follows. They form an X and the hyperbola always gets closer to them but never touches them. If the transverse axis of your hyperbola is horizontal, the slopes of your asymptotes are + or - b/a. If the transverse axis is vertical, the slopes are + or - a/b. The center of a hyperbola is (h,k). I don't know what the rest of your questions are, though.


What rhymes with Kevin that describs him?

melon...


What is the definition and equation of rectangular hyperbola?

Defn: A hyperbola is said to be a rectangular hyperbola if its asymptotes are at right angles. Std Eqn: The standard rectangular hyperbola xy = c2


How many foci does the graph of a hyperbola have?

Two foci's are found on a hyperbola graph.


What are the slopes of the hyperbola's asymptotes?

If a hyperbola is vertical, the asymptotes have a slope of m = +- a/b. If a hyperbola is horizontal, the asymptotes have a slope of m = +- b/a.


What is the term of two lines crossing the center of a graph if its a hyperbola?

The axes of the hyperbola.


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).


Which term best describs tree bark?

secondary phloem