asymptoten x^2-4y^2=16

Lösung

asymptoten

x^{2} - 4 y^{2} = 16

y = \frac{x}{2}, y = - \frac{x}{2}

Schritte zur Lösung

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

Calculate Hyperbola properties

x^{2} - 4 y^{2} = 16 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 4, b = 2

y = \frac{2}{4} (x - 0) + 0, y = - \frac{2}{4} (x - 0) + 0

Fasse zusammen

y = \frac{x}{2}, y = - \frac{x}{2}

a sy m pt o t es x^{2} - 9 y^{2} - 4 x + 36 y - 41 = 0

a sy m pt o t es \frac{y ^{2}}{64} - \frac{x ^{2}}{324} = 1

a sy m pt o t es x^{2} - 16 y^{2} = 144

a sy m pt o t es \frac{y ^{2}}{4} - \frac{x ^{2}}{16} = 1

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