asymptoten-4x^2+24x+16y^2-128y+156=0

Lösung

asymptoten

- 4 x^{2} + 24 x + 16 y^{2} - 128 y + 156 = 0

y = \frac{x - 3}{2} + 4, y = - \frac{x - 3}{2} + 4

Schritte zur Lösung

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

Calculate Hyperbola properties

- 4 x^{2} + 24 x + 16 y^{2} - 128 y + 156 = 0 :

Up-down Hyperbola with

(h, k) = (3, 4), a = 2, b = 4

y = \frac{2}{4} (x - 3) + 4, y = - \frac{2}{4} (x - 3) + 4

Fasse zusammen

y = \frac{x - 3}{2} + 4, y = - \frac{x - 3}{2} + 4

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

a sy m pt o t es \frac{( y - 2 ) ^{2}}{4} - \frac{( x + 3 ) ^{2}}{9} = 1

a sy m pt o t es 4 y^{2} - 2 x^{2} - 4 y - 8 x - 15 = 0