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Beliebt Geometry >

((x-5)^2}{16}-\frac{(y+7)^2)/9 =-1

Lösung

\frac{( x - 5 ) ^{2}}{16} - \frac{( y + 7 ) ^{2}}{9} = - 1

Lösung

(h, k) = (5, - 7), a = 3, b = 4

Schritte zur Lösung

\frac{( x - 5 ) ^{2}}{16} - \frac{( y + 7 ) ^{2}}{9} = - 1

Rewrite

\frac{( x - 5 ) ^{2}}{16} - \frac{( y + 7 ) ^{2}}{9} = - 1

in the form of a standard hyperbola equation

\frac{( y - ( - 7 ) ) ^{2}}{3 ^{2}} - \frac{( x - 5 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (5, - 7), a = 3, b = 4

Graph

Beliebte Beispiele

2 x^{2} - y^{2} - 1 = 0

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

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

((x-3)^2)/(49)-((y+5)^2)/(25)=1

\frac{( x - 3 ) ^{2}}{49} - \frac{( y + 5 ) ^{2}}{25} = 1

((x-8)^2)/9-((y+3)^2)/(16)=1

\frac{( x - 8 ) ^{2}}{9} - \frac{( y + 3 ) ^{2}}{16} = 1

9x^2-4y^2-54x-16y+29=0

9 x^{2} - 4 y^{2} - 54 x - 16 y + 29 = 0