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

Lösung

asymptoten

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

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

Schritte zur Lösung

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

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

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 \frac{x ^{2}}{45} - \frac{y ^{2}}{4} = 1

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

a sy m pt o t es 4 x^{2} - \frac{1}{2} y^{2} + 8 x + 2 y = 2

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

a sy m pt o t es 4 x^{2} - 9 y^{2} - 36 < 0