asymptoten 4x^2-y^2=4

Lösung

asymptoten

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

y = 2 x, y = - 2 x

Schritte zur Lösung

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

Calculate Hyperbola properties

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

Right-left Hyperbola with

(h, k) = (0, 0), a = 1, b = 2

y = \frac{2}{1} (x - 0) + 0, y = - \frac{2}{1} (x - 0) + 0

Fasse zusammen

y = 2 x, y = - 2 x

a sy m pt o t es 4 x^{2} - \frac{1}{2} y^{2} + 8 x + 2 y - 2 = 0

a sy m pt o t es \frac{x ^{2}}{10} - \frac{y ^{2}}{90} = 1

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

a sy m pt o t es x^{2} - 3 y^{2} - 2 x - 6 y + 7 = 0

a sy m pt o t es 16 x^{2} - 9 y^{2} - 96 x + 288 = 0