asymptoten 4(x-3)^2-9(y-2)^2=36

Lösung

asymptoten

4 (x - 3)^{2} - 9 (y - 2)^{2} = 36

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

Schritte zur Lösung

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

Calculate Hyperbola properties

4 (x - 3)^{2} - 9 (y - 2)^{2} = 36 :

Right-left Hyperbola with

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

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

a sy m pt o t es \frac{x ^{2}}{4} - \frac{y ^{2}}{16} = 1

a sy m pt o t es \frac{( x + 1 ) ^{2}}{3} - \frac{( y - 1 ) ^{2}}{5} = 1

a sy m pt o t es 9 x^{2} - 4 y^{2} + 72 x + 180 = 0

a sy m pt o t es 8 y^{2} - 32 x^{2} = 96

a sy m pt o t es 9 x^{2} - y^{2} + 36 x - 2 y = 46