asymptoten x^2-9y^2=9

Lösung

asymptoten

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

y = \frac{x}{3}, y = - \frac{x}{3}

Schritte zur Lösung

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = 3, b = 1

y = \frac{1}{3} (x - 0) + 0, y = - \frac{1}{3} (x - 0) + 0

Fasse zusammen

y = \frac{x}{3}, y = - \frac{x}{3}

a sy m pt o t es - 9 x^{2} + 4 y^{2} - 36 x - 16 y - 164 = 0

a sy m pt o t es \frac{y ^{2}}{16} - \frac{x ^{2}}{36} = 1

a sy m pt o t es x^{2} - y^{2} - 4 x + 8 y - 21 = 0

a sy m pt o t es \frac{x ^{2}}{7} - \frac{7 y ^{2}}{42} = 1

a sy m pt o t es \frac{x ^{2}}{81} - \frac{y ^{2}}{9} = 1