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Beliebt Geometry >

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

Lösung

center

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

Lösung

(- 2, \frac{1}{2})

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

And the center is:

(- 2, \frac{1}{2})

Graph

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