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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

4x^2+8x-4y^2+12y-3=0

4 x^{2} + 8 x - 4 y^{2} + 12 y - 3 = 0

((x+4)^2)/(16)-((y-2)^2)/(36)=1

\frac{( x + 4 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 1

12y^2+72y-4x^2+16x+44=0

12 y^{2} + 72 y - 4 x^{2} + 16 x + 44 = 0

(x-1)^2-(y-4)^2=16

(x - 1)^{2} - (y - 4)^{2} = 16

y^{2} = x^{2} + 289