asymptoten 9x^2-y^2+6y-18=0

Lösung

asymptoten

9 x^{2} - y^{2} + 6 y - 18 = 0

y = 3 x + 3, y = - 3 x + 3

Schritte zur Lösung

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

Calculate Hyperbola properties

9 x^{2} - y^{2} + 6 y - 18 = 0 :

Right-left Hyperbola with

(h, k) = (0, 3), a = 1, b = 3

y = \frac{3}{1} (x - 0) + 3, y = - \frac{3}{1} (x - 0) + 3

Fasse zusammen

y = 3 x + 3, y = - 3 x + 3

a sy m pt o t es 4 x^{2} - y^{2} - 24 x - 6 y + 23 = 0

a sy m pt o t es y^{2} - x^{2} = \frac{4}{25}

a sy m pt o t es 3 x^{2} - y^{2} + 6 x - 2 y = 10

a sy m pt o t es \frac{( x - 1 ) ^{2}}{9} - \frac{( y + 6 ) ^{2}}{4} = 1

a sy m pt o t es \frac{x ^{2}}{16} - \frac{y ^{2}}{20} = 1