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Beliebt Geometry >

((x+1)^2)/9-((y-4)^2)/(49)=1

Lösung

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

Lösung

(h, k) = (- 1, 4), a = 3, b = 7

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 1, 4), a = 3, b = 7

Graph

Beliebte Beispiele

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

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

((x-2)^2)/(81)-(y^2)/(49)=1

\frac{( x - 2 ) ^{2}}{81} - \frac{y ^{2}}{49} = 1

3x^2-2y^2+32y-134=0

3 x^{2} - 2 y^{2} + 32 y - 134 = 0

4x^2-9y^2-16x+18y-9=0

4 x^{2} - 9 y^{2} - 16 x + 18 y - 9 = 0

8 y^{2} - 4 x^{2} = 4