asymptoten (y^2)/(16)-(x^2)/(25)=1

Lösung

asymptoten

\frac{y ^{2}}{16} - \frac{x ^{2}}{25} = 1

y = \frac{4 x}{5}, y = - \frac{4 x}{5}

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{y ^{2}}{16} - \frac{x ^{2}}{25} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 4, b = 5

y = \frac{4}{5} (x - 0) + 0, y = - \frac{4}{5} (x - 0) + 0

Fasse zusammen

y = \frac{4 x}{5}, y = - \frac{4 x}{5}

a sy m pt o t es - 4 x^{2} + 24 x + 16 y^{2} - 128 y + 156 = 0

a sy m pt o t es \frac{y ^{2}}{64} - \frac{x ^{2}}{9} = 1

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

a sy m pt o t es x^{2} - y^{2} + 8 x - 2 y + 14 = 0

a sy m pt o t es \frac{( y - 2 ) ^{2}}{4} - \frac{( x + 3 ) ^{2}}{9} = 1