asymptoten 6x^2-2/3 y^2=4

Lösung

asymptoten

6 x^{2} - \frac{2}{3} y^{2} = 4

y = 3 x, y = - 3 x

Schritte zur Lösung

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

Calculate Hyperbola properties

6 x^{2} - \frac{2}{3} y^{2} = 4 :

Right-left Hyperbola with

(h, k) = (0, 0), a = \frac{2}{3}, b = 6

y = \frac{6}{\frac{2}{3}} (x - 0) + 0, y = - \frac{6}{\frac{2}{3}} (x - 0) + 0

Fasse zusammen

y = 3 x, y = - 3 x

a sy m pt o t es 4 (x - 3)^{2} - 9 (y - 2)^{2} = 36

a sy m pt o t es \frac{x ^{2}}{4} - \frac{y ^{2}}{16} = 1

a sy m pt o t es \frac{( x + 1 ) ^{2}}{3} - \frac{( y - 1 ) ^{2}}{5} = 1

a sy m pt o t es 9 x^{2} - 4 y^{2} + 72 x + 180 = 0

a sy m pt o t es 8 y^{2} - 32 x^{2} = 96