asymptoten (y^2)/(12^2)-(x^2)/(6^2)=1

Lösung

asymptoten

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

y = 2 x, y = - 2 x

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{y ^{2}}{1 2 ^{2}} - \frac{x ^{2}}{6 ^{2}} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 12, b = 6

y = \frac{12}{6} (x - 0) + 0, y = - \frac{12}{6} (x - 0) + 0

Fasse zusammen

y = 2 x, y = - 2 x

a sy m pt o t es x^{2} - 4 (y - 3)^{2} = 4

a sy m pt o t es 16 y^{2} - 81 x^{2} - 256 y + 486 x = 1001

a sy m pt o t es 4 x^{2} - y^{2} + 40 x - 4 y + 80 = 0

a sy m pt o t es x^{2} - 16 y^{2} = 16

a sy m pt o t es - \frac{y ^{2}}{1} + \frac{x ^{2}}{49} = 1