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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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Continue Learning about Calculus

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.