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

Lösung

asymptoten

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

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

Schritte zur Lösung

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

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

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

Fasse zusammen

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