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

Lösung

asymptoten

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

y = 6 x - 2, y = - 6 x - 2

Schritte zur Lösung

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

(h, k) = (0, - 2), a = 6, b = 1

y = \frac{6}{1} (x - 0) + (- 2), y = - \frac{6}{1} (x - 0) + (- 2)

Fasse zusammen

y = 6 x - 2, y = - 6 x - 2

a sy m pt o t es 0 = - \frac{400}{9} x^{2} + 16 y^{2} + 400

a sy m pt o t es \frac{x ^{2}}{16} - \frac{y ^{2}}{25} = 1

a sy m pt o t es 9 x^{2} - 18 x - 16 y^{2} - 64 y = 199

a sy m pt o t es \frac{x ^{2}}{4} - \frac{y ^{2}}{5} = 1

a sy m pt o t es x^{2} - y^{2} + 4 x - 6 y = 6