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Q: How do you know which way a hyperbola opens?
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Related questions

For a hyperbola that opens left and right the value a equals half the length of the hyperbola's transverse axis?

true


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 slope of a hyperbola?

there is only one way i know how to find the slope of a hyperbola and that is taking the implicit derivative of its equation, and solving for dy/dx but the answer is Slope= (x)*(b^2) / (y)*(a^2)


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 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.


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 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).