asymptoten ((x-1)^2)/9-((y+3)^2)/4 =1

Lösung

asymptoten

\frac{( x - 1 ) ^{2}}{9} - \frac{( y + 3 ) ^{2}}{4} = 1

y = \frac{2}{3} (x - 1) - 3, y = - \frac{2}{3} (x - 1) - 3

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{( x - 1 ) ^{2}}{9} - \frac{( y + 3 ) ^{2}}{4} = 1 :

Right-left Hyperbola with

(h, k) = (1, - 3), a = 3, b = 2

y = \frac{2}{3} (x - 1) + (- 3), y = - \frac{2}{3} (x - 1) + (- 3)