asymptoten x^2-16y^2=144

Lösung

asymptoten

x^{2} - 16 y^{2} = 144

y = \frac{x}{4}, y = - \frac{x}{4}

Schritte zur Lösung

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

Calculate Hyperbola properties

x^{2} - 16 y^{2} = 144 :

Right-left Hyperbola with

(h, k) = (0, 0), a = 12, b = 3

y = \frac{3}{12} (x - 0) + 0, y = - \frac{3}{12} (x - 0) + 0

Fasse zusammen

y = \frac{x}{4}, y = - \frac{x}{4}

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

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

a sy m pt o t es x^{2} - y^{2} - 4 x - 6 y - 14 = 0

a sy m pt o t es 4 x^{2} - 9 y^{2} - 8 x + 72 y - 176 = 0