asymptoten ((x-1)^2)/4-((y+2)^2)/1 =1

Lösung

asymptoten

\frac{( x - 1 ) ^{2}}{4} - \frac{( y + 2 ) ^{2}}{1} = 1

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

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{( x - 1 ) ^{2}}{4} - \frac{( y + 2 ) ^{2}}{1} = 1 :

Right-left Hyperbola with

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

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

a sy m pt o t es \frac{x ^{2}}{4} - \frac{y ^{2}}{49} = 1

a sy m pt o t es 4 y^{2} - x^{2} = 900

a sy m pt o t es 9 (x - 1)^{2} - 16 (y + 2)^{2} = 144

a sy m pt o t es 9 x^{2} - y^{2} + 6 y - 18 = 0

a sy m pt o t es 4 x^{2} - y^{2} - 24 x - 6 y + 23 = 0