asymptoten 4x^2-9y^2-18y-153=0

Lösung

asymptoten

4 x^{2} - 9 y^{2} - 18 y - 153 = 0

y = \frac{2 x}{3} - 1, y = - \frac{2 x}{3} - 1

Schritte zur Lösung

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

Calculate Hyperbola properties

4 x^{2} - 9 y^{2} - 18 y - 153 = 0 :

Right-left Hyperbola with

(h, k) = (0, - 1), a = 6, b = 4

y = \frac{4}{6} (x - 0) + (- 1), y = - \frac{4}{6} (x - 0) + (- 1)

Fasse zusammen

y = \frac{2 x}{3} - 1, y = - \frac{2 x}{3} - 1

a sy m pt o t es \frac{( x - 3 ) ^{2}}{4} - \frac{( y + 5 ) ^{2}}{9} = 1

a sy m pt o t es 4 x^{2} - y^{2} - 8 x + 6 y - 4 = 0

a sy m pt o t es 4 y^{2} - 25 x^{2} = 100

a sy m pt o t es + \frac{y ^{2}}{25} - \frac{x ^{2}}{4} = 1

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