asymptoten-9x^2+y^2=36

Lösung

asymptoten

- 9 x^{2} + y^{2} = 36

y = 3 x, y = - 3 x

Schritte zur Lösung

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

Calculate Hyperbola properties

- 9 x^{2} + y^{2} = 36 :

Up-down Hyperbola with

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

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

Fasse zusammen

y = 3 x, y = - 3 x

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

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

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