foki ((y-(-2))^2)/9-((x-5)^2)/(27)=1

Lösung

foki

\frac{( y - ( - 2 ) ) ^{2}}{9} - \frac{( x - 5 ) ^{2}}{27} = 1

(5, 4), (5, - 8)

Schritte zur Lösung

(h, k + c), (h, k - c)

Calculate Hyperbola properties

\frac{( y - ( - 2 ) ) ^{2}}{9} - \frac{( x - 5 ) ^{2}}{27} = 1 :

Up-down Hyperbola with

(h, k) = (5, - 2), a = 3, b = 33

(5, - 2 + c), (5, - 2 - c)

Compute

c :

c = 3^{2} + (33)^{2} : 6

(5, - 2 + 6), (5, - 2 - 6)

Fasse zusammen

(5, 4), (5, - 8)

f oc i \frac{( y - 0 ) ^{2}}{1 ^{2}} - \frac{( 3 x - 0 ) ^{2}}{90} = 1

f oc i - \frac{x ^{2}}{25} + \frac{y ^{2}}{36} = 1

f oc i \frac{( x - 5 ) ^{2}}{4} - \frac{( y + 3 ) ^{2}}{16} = 1

f oc i \frac{( x - 0 ) ^{2}}{16} - \frac{( y - 0 ) ^{2}}{9} = 1

f oc i \frac{( x - 4 ) ^{2}}{49} - \frac{( y + 6 ) ^{2}}{9} = 1