asymptoten-4x^2+y^2=16

Lösung

asymptoten

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

y = 2 x, y = - 2 x

Schritte zur Lösung

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

Calculate Hyperbola properties

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

Up-down Hyperbola with

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

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

Fasse zusammen

y = 2 x, y = - 2 x

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

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

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

a sy m pt o t es \frac{( x - 2 ) ^{2}}{4} - \frac{( y + 3 ) ^{2}}{9} = 1