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

Lösung

asymptoten

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

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

Schritte zur Lösung

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 3), a = 2, b = 1

y = \frac{1}{2} (x - 0) + 3, y = - \frac{1}{2} (x - 0) + 3

Fasse zusammen

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