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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

4x^2-625*y^2+2*y-1=0

4 x^{2} - 625 \cdot y^{2} + 2 \cdot y - 1 = 0

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

(\frac{( x + 3 )}{4})^{2} - (\frac{( y - 2 )}{2})^{2} = 1

y^{2} = 8 + 4 x^{2}

(x-2)^2-(y-4)^2=2

(x - 2)^{2} - (y - 4)^{2} = 2

x^{2} - y^{2} \leq 16