asymptoten (x^2)/3-(y^2)/3 =1

Lösung

asymptoten

\frac{x ^{2}}{3} - \frac{y ^{2}}{3} = 1

y = x, y = - x

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{x ^{2}}{3} - \frac{y ^{2}}{3} = 1 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 3, b = 3

y = \frac{3}{3} (x - 0) + 0, y = - \frac{3}{3} (x - 0) + 0

Fasse zusammen

y = x, y = - x

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

a sy m pt o t es - 16 x^{2} + 9 y^{2} + 96 x - 90 y - 63 = 0

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

a sy m pt o t es \frac{x ^{2}}{64} - \frac{y ^{2}}{144} = 1

a sy m pt o t es \frac{x ^{2}}{4} - \frac{y ^{2}}{25} = 1