asymptoten 9y^2-4x^2-36y-8x=4

Lösung

asymptoten

9 y^{2} - 4 x^{2} - 36 y - 8 x = 4

y = \frac{2}{3} (x + 1) + 2, y = - \frac{2}{3} (x + 1) + 2

Schritte zur Lösung

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

Calculate Hyperbola properties

9 y^{2} - 4 x^{2} - 36 y - 8 x = 4 :

Up-down Hyperbola with

(h, k) = (- 1, 2), a = 2, b = 3

y = \frac{2}{3} (x - (- 1)) + 2, y = - \frac{2}{3} (x - (- 1)) + 2

Fasse zusammen

y = \frac{2}{3} (x + 1) + 2, y = - \frac{2}{3} (x + 1) + 2

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

a sy m pt o t es \frac{x ^{2}}{16} - \frac{y ^{2}}{64} = 1

a sy m pt o t es \frac{y ^{2}}{49} - \frac{x ^{2}}{36} = 1

a sy m pt o t es \frac{x ^{2}}{49} - \frac{y ^{2}}{36} = 1

a sy m pt o t es \frac{( y - 5 ) ^{2}}{16} - (x + 5)^{2} = 1