asymptoten ((x-2)^2)/4-(y^2)/9 =1

Lösung

asymptoten

\frac{( x - 2 ) ^{2}}{4} - \frac{y ^{2}}{9} = 1

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

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{( x - 2 ) ^{2}}{4} - \frac{y ^{2}}{9} = 1 :

Right-left Hyperbola with

(h, k) = (2, 0), a = 2, b = 3

y = \frac{3}{2} (x - 2) + 0, y = - \frac{3}{2} (x - 2) + 0

Fasse zusammen

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

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

a sy m pt o t es - 9 x^{2} + 16 y^{2} - 90 x + 32 y - 353 = 0

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

a sy m pt o t es \frac{y ^{2}}{12} - \frac{x ^{2}}{16} = 1

a sy m pt o t es y^{2} - x^{2} = 22