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Beliebt Geometry >

((x+3)^2)/4-((y-1)^2)/5 =1

Lösung

\frac{( x + 3 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{5} = 1

Lösung

(h, k) = (- 3, 1), a = 2, b = 5

Schritte zur Lösung

\frac{( x + 3 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{5} = 1

Rewrite

\frac{( x + 3 ) ^{2}}{4} - \frac{( y - 1 ) ^{2}}{5} = 1

in the form of a standard hyperbola equation

\frac{( x - ( - 3 ) ) ^{2}}{2 ^{2}} - \frac{( y - 1 ) ^{2}}{( 5 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 3, 1), a = 2, b = 5

Graph

Beliebte Beispiele

16y^{(2)}-x^{(2)}+2x+64y-1=0

16 y^{(2)} - x^{(2)} + 2 x + 64 y - 1 = 0

(x/7)^2-(y/9)^2=1

(\frac{x}{7})^{2} - (\frac{y}{9})^{2} = 1

1 = 2 z^{2} - y^{2}

((y-7)^2)/(36)-((x-3)^2)/(64)=1

\frac{( y - 7 ) ^{2}}{36} - \frac{( x - 3 ) ^{2}}{64} = 1

-3(x^2-2x+1)+(y^2+4y+2)-2=-11

- 3 (x^{2} - 2 x + 1) + (y^{2} + 4 y + 2) - 2 = - 11