asymptoten (y^2)/(16)-(x^2)/(36)=1

Lösung

asymptoten

\frac{y ^{2}}{16} - \frac{x ^{2}}{36} = 1

y = \frac{2 x}{3}, y = - \frac{2 x}{3}

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{y ^{2}}{16} - \frac{x ^{2}}{36} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 4, b = 6

y = \frac{4}{6} (x - 0) + 0, y = - \frac{4}{6} (x - 0) + 0

Fasse zusammen

y = \frac{2 x}{3}, y = - \frac{2 x}{3}

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

a sy m pt o t es \frac{y ^{2}}{4} - \frac{x ^{2}}{9} = 1

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