asymptoten y^2-4x^2-12y-16x+16=0

Lösung

asymptoten

y^{2} - 4 x^{2} - 12 y - 16 x + 16 = 0

y = 2 (x + 2) + 6, y = - 2 (x + 2) + 6

Schritte zur Lösung

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

Calculate Hyperbola properties

y^{2} - 4 x^{2} - 12 y - 16 x + 16 = 0 :

Up-down Hyperbola with

(h, k) = (- 2, 6), a = 2, b = 1

y = \frac{2}{1} (x - (- 2)) + 6, y = - \frac{2}{1} (x - (- 2)) + 6

Fasse zusammen

y = 2 (x + 2) + 6, y = - 2 (x + 2) + 6