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Beliebt Geometry >

((x+4)^2)/(16)-((y-2)^2)/(36)=1

Lösung

\frac{( x + 4 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 1

Lösung

(h, k) = (- 4, 2), a = 4, b = 6

Schritte zur Lösung

\frac{( x + 4 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 1

Rewrite

\frac{( x + 4 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 1

in the form of a standard hyperbola equation

\frac{( x - ( - 4 ) ) ^{2}}{4 ^{2}} - \frac{( y - 2 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 4, 2), a = 4, b = 6

Graph

Beliebte Beispiele

12y^2+72y-4x^2+16x+44=0

12 y^{2} + 72 y - 4 x^{2} + 16 x + 44 = 0

(x-1)^2-(y-4)^2=16

(x - 1)^{2} - (y - 4)^{2} = 16

y^{2} = x^{2} + 289

-3y^2+18x^2=-y-2

- 3 y^{2} + 18 x^{2} = - y - 2

9a^2-b^2+81=13a-18b-81

9 a^{2} - b^{2} + 81 = 13 a - 18 b - 81