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Beliebt Geometry >

center 3(x+2)^2-6(y-6)^2-18=0

Lösung

center

3 (x + 2)^{2} - 6 (y - 6)^{2} - 18 = 0

Lösung

(- 2, 6)

Schritte zur Lösung

3 (x + 2)^{2} - 6 (y - 6)^{2} - 18 = 0

Rewrite

3 (x + 2)^{2} - 6 (y - 6)^{2} - 18 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 2 ) ) ^{2}}{( 6 ) ^{2}} - \frac{( y - 6 ) ^{2}}{( 3 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 2, 6), a = 6, b = 3

And the center is:

(- 2, 6)

Graph

Beliebte Beispiele

center x^2-6x-6=y^2+6y+6

ce n t er x^{2} - 6 x - 6 = y^{2} + 6 y + 6

center y^2-4y-4x^2+13=0

ce n t er y^{2} - 4 y - 4 x^{2} + 13 = 0

center ((y+3)^2)/4-((x+1)^2)/(16)=1

ce n t er \frac{( y + 3 ) ^{2}}{4} - \frac{( x + 1 ) ^{2}}{16} = 1

center ((x-1)^2)/4-((y+3)^2)/(16)=1

ce n t er \frac{( x - 1 ) ^{2}}{4} - \frac{( y + 3 ) ^{2}}{16} = 1

center x^2-y^2=9

ce n t er x^{2} - y^{2} = 9