asymptoten 4y^2-2x^2-4y-8x-15=0

Lösung

asymptoten

4 y^{2} - 2 x^{2} - 4 y - 8 x - 15 = 0

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

Schritte zur Lösung

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

Calculate Hyperbola properties

4 y^{2} - 2 x^{2} - 4 y - 8 x - 15 = 0 :

Up-down Hyperbola with

(h, k) = (- 2, \frac{1}{2}), a = 2, b = 2

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

Fasse zusammen

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