asymptoten ((x-5)^2)/1-((y-4)^2)/1 =1

Lösung

asymptoten

\frac{( x - 5 ) ^{2}}{1} - \frac{( y - 4 ) ^{2}}{1} = 1

y = x - 1, y = - (x - 5) + 4

Schritte zur Lösung

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

Calculate Hyperbola properties

\frac{( x - 5 ) ^{2}}{1} - \frac{( y - 4 ) ^{2}}{1} = 1 :

Right-left Hyperbola with

(h, k) = (5, 4), a = 1, b = 1

y = \frac{1}{1} (x - 5) + 4, y = - \frac{1}{1} (x - 5) + 4

Fasse zusammen

y = x - 1, y = - (x - 5) + 4