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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

((x-6)^2)/(25)-(y+1)^2=1

\frac{( x - 6 ) ^{2}}{25} - (y + 1)^{2} = 1

((y-6)^2)/9-(x-6)^2=1

\frac{( y - 6 ) ^{2}}{9} - (x - 6)^{2} = 1

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

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

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

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

(-p/((2-q)))(-((p-1))/q)=-1

(- \frac{p}{( 2 - q )}) (- \frac{( p - 1 )}{q}) = - 1