asymptoten (y^2)/(64)-(x^2)/(16)=1

Lösung

asymptoten

\frac{y ^{2}}{64} - \frac{x ^{2}}{16} = 1

y = 2 x, y = - 2 x

Schritte zur Lösung

y = \pm \frac{a}{b} (x - h) + k

Calculate Hyperbola properties

\frac{y ^{2}}{64} - \frac{x ^{2}}{16} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 8, b = 4

y = \frac{8}{4} (x - 0) + 0, y = - \frac{8}{4} (x - 0) + 0

Fasse zusammen

y = 2 x, y = - 2 x

a sy m pt o t es y^{2} - x^{2} = \frac{9}{25}

a sy m pt o t es 25 y^{2} - 64 x^{2} = 1600

a sy m pt o t es \frac{( y + 2 ) ^{2}}{4} - \frac{( x - 2 ) ^{2}}{9} = 1

a sy m pt o t es 9 x^{2} - y^{2} + 36 x - 12 y = 36

a sy m pt o t es 4 x^{2} - 24 x - 25 y^{2} + 250 y - 489 = 0