asymptoten 16x^2-y^2=256

Lösung

asymptoten

16 x^{2} - y^{2} = 256

y = 4 x, y = - 4 x

Schritte zur Lösung

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

Calculate Hyperbola properties

16 x^{2} - y^{2} = 256 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 4, b = 16

y = \frac{16}{4} (x - 0) + 0, y = - \frac{16}{4} (x - 0) + 0

Fasse zusammen

y = 4 x, y = - 4 x

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

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

a sy m pt o t es - 9 x^{2} + 16 y^{2} - 90 x + 32 y - 353 = 0

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

a sy m pt o t es \frac{y ^{2}}{12} - \frac{x ^{2}}{16} = 1