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Beliebt Geometry >

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

Lösung

center

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

Lösung

(- 2, 1)

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 2, 1), a = 9, b = 4

And the center is:

(- 2, 1)

Graph

Beliebte Beispiele

center ((x-3)^2)/(a^2)-((y-4)^2)/(b^2)=1

ce n t er \frac{( x - 3 ) ^{2}}{a ^{2}} - \frac{( y - 4 ) ^{2}}{b ^{2}} = 1

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

ce n t er \frac{( x - 1 ) ^{2}}{9} - \frac{y ^{2}}{4} = 1

center ((y-2)^2)/9-((x+1)^2)/(25)=1

ce n t er \frac{( y - 2 ) ^{2}}{9} - \frac{( x + 1 ) ^{2}}{25} = 1

center (y^2)/(25)-x^2=1

ce n t er \frac{y ^{2}}{25} - x^{2} = 1

center-4x^2+y^2+8y-20=0

ce n t er - 4 x^{2} + y^{2} + 8 y - 20 = 0