asymptoten y^2=x^2-4x

Lösung

asymptoten

y^{2} = x^{2} - 4 x

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

Schritte zur Lösung

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

Calculate Hyperbola properties

y^{2} = x^{2} - 4 x :

Up-down Hyperbola with

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

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

Fasse zusammen

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

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

a sy m pt o t es - 9 x^{2} + 4 y^{2} - 36 x - 16 y - 164 = 0

a sy m pt o t es \frac{y ^{2}}{16} - \frac{x ^{2}}{36} = 1

a sy m pt o t es x^{2} - y^{2} - 4 x + 8 y - 21 = 0