asymptoten (x-4)^2-(y-5)^2=15

Lösung

asymptoten

(x - 4)^{2} - (y - 5)^{2} = 15

y = x + 1, y = - (x - 4) + 5

Schritte zur Lösung

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

Calculate Hyperbola properties

(x - 4)^{2} - (y - 5)^{2} = 15 :

Right-left Hyperbola with

(h, k) = (4, 5), a = 15, b = 15

y = \frac{15}{15} (x - 4) + 5, y = - \frac{15}{15} (x - 4) + 5

Fasse zusammen

y = x + 1, y = - (x - 4) + 5

a sy m pt o t es \frac{x ^{2}}{81} - \frac{y ^{2}}{4} = 1

a sy m pt o t es - 9 x^{2} - 32 y = - 16 y^{2} + 128

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

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

a sy m pt o t es \frac{x ^{2}}{64} - \frac{y ^{2}}{81} = 1