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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (- 1, \frac{3}{2}), a = \frac{1}{2}, b = \frac{1}{2}

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 1, \frac{3}{2}), a = \frac{1}{2}, b = \frac{1}{2}

Graph

Beliebte Beispiele

((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

-3y^2+18x^2=-y-2

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