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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (2, 1), a = 2, b = 2

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, 1), a = 2, b = 2

Graph

Beliebte Beispiele

4x^2-3y^2+32x-18y=-25

4 x^{2} - 3 y^{2} + 32 x - 18 y = - 25

4 x^{2} - z^{2} = 1

((y+2)^2)/(25)-((x-10)^2)/(36)=1

\frac{( y + 2 ) ^{2}}{25} - \frac{( x - 10 ) ^{2}}{36} = 1

((y-3)^2}{16}-\frac{(x+4)^2)/9 =1

\frac{( y - 3 ) ^{2}}{16} - \frac{( x + 4 ) ^{2}}{9} = 1

2x^2-2y=2y^2+2y+2x-1

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