Hyperbola equation：Hyperbola Formula
Hyperbola Formula
Thestandardequationofthehyperbolaisx2a2−y2b2=1x2a2−y2b2=1hasthetransverseaxisasthex-axisandtheconjugateaxisisthey-axis.。其他文章還包含有：「8.3」、「EquationofHyperbola」、「EquationsofHyperbolas」、「Hyperbola-Equation,Formulas,Properties」、「Hyperbola」、「Hyperbola」、「Hyperbolas」、「Hyperbolas:TheirEquations,Graphs」、「StandardEquation」
查看更多 離開網站Inmathematics,ahyperbolaisanimportantconicsectionformedbytheintersectionofthedoubleconebyaplanesurface,butnotnecessarilyatthecenter.Ahyperbolaissymmetricalongtheconjugateaxis,andsharesmanysimilaritieswiththeellipse.Conceptslikefoci,directrix,latusrectum,eccentricity,applytoahyperbola.Afewcommonexamplesofhyperbolaincludethepathfollowedbythetipoftheshadowofasundial,thescatteringtrajectoryofsub-atomicparticles,etc.Hereweshallaimatunderstandingthedefinition,formulaofahyperbola,derivationofthefor...
8.3
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Like hyperbolas centered at the origin, hyperbolas centered at a point (h,k) have vertices, co-vertices, and foci that are related by the ...
Equation of Hyperbola
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Standard equation of hyperbola is (x2/a2) – (y2/b2) = 1, where the x-axis is the transverse axis and the y-axis is the conjugate axis.
Equations of Hyperbolas
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The standard form of an equation of a hyperbola centered at the origin with vertices (±a,0) ( ± a , 0 ) and co-vertices (0±b) ( 0 ± b ) is x2a2−y2b2=1 x 2 a 2 ...
Hyperbola - Equation, Formulas, Properties
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Hyperbola
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y = (b/a)x; y = −(b/a)x. (Note: the equation is similar to the equation of the ellipse: x2 ...
Hyperbola
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Hyperbola with equation y = A/x Edit · the coordinate axes as asymptotes, · the line y = x -displaystyle y=x} · the center ( 0 , 0 ) -displaystyle (0,0)} · the ...
Hyperbolas
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The center, vertices, and asymptotes are apparent if the equation of a hyperbola is given in standard form: (x−h)2a2−(y−k)2b2=1 or (y−k)2b2−(x−h)2a2=1. To ...
Hyperbolas: Their Equations, Graphs
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What is the equation of an hyperbola? · ( x − h ) 2 a 2 − ( y − k ) 2 b 2 = 1 -small -dfrac(x-h)^2}a^2} - -dfrac(y-k)^2}b^2} = 1 } a2(x−h)2−b2(y−k)2 ...
Standard Equation
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Important Terms and Formulas of Hyperbola · Eccentricity (e): e2 = 1 + (b2 / a2) = 1 + [(conjugate axis)2 / (transverse axis)2] · Focii: S = (ae, 0) & S′ = (−ae, ...