asymptoten x^2-y^2+8x-2y+14=0

Lösung

asymptoten

x^{2} - y^{2} + 8 x - 2 y + 14 = 0

y = x + 3, y = - (x + 4) - 1

Schritte zur Lösung

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

Calculate Hyperbola properties

x^{2} - y^{2} + 8 x - 2 y + 14 = 0 :

Right-left Hyperbola with

(h, k) = (- 4, - 1), a = 1, b = 1

y = \frac{1}{1} (x - (- 4)) + (- 1), y = - \frac{1}{1} (x - (- 4)) + (- 1)

Fasse zusammen

y = x + 3, y = - (x + 4) - 1

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

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

a sy m pt o t es 9 x^{2} - 16 y^{2} - 54 x + 64 y - 127 = 0

a sy m pt o t es x^{2} - 9 y^{2} = 9