asymptoten y^2-4x^2<1

Lösung

asymptoten

y^{2} - 4 x^{2} < 1

y = 2 x, y = - 2 x

Schritte zur Lösung

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

Schreibe um

y^{2} - 4 x^{2} = 1

Calculate Hyperbola properties

y^{2} - 4 x^{2} = 1 :

Up-down Hyperbola with

(h, k) = (0, 0), a = 1, b = \frac{1}{2}

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

Fasse zusammen

y = 2 x, y = - 2 x

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

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

a sy m pt o t es \frac{y ^{2}}{16} - \frac{x ^{2}}{256} = 1

a sy m pt o t es x^{2} - 4 y^{2} - 4 x + 24 y - 36 = 0

a sy m pt o t es \frac{y ^{2}}{4} - \frac{x ^{2}}{36} = 1