asymptoten 4x^2-9y^2-36=0

Lösung

asymptoten

4 x^{2} - 9 y^{2} - 36 = 0

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

Schritte zur Lösung

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

Calculate Hyperbola properties

4 x^{2} - 9 y^{2} - 36 = 0 :

Right-left Hyperbola with

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

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

Fasse zusammen

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

a sy m pt o t es \frac{y ^{2}}{16} - \frac{x ^{2}}{25} = 1

a sy m pt o t es - 4 x^{2} + 24 x + 16 y^{2} - 128 y + 156 = 0

a sy m pt o t es \frac{y ^{2}}{64} - \frac{x ^{2}}{9} = 1

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

a sy m pt o t es x^{2} - y^{2} + 8 x - 2 y + 14 = 0