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Beliebt Geometry >

((y+3)^2)/9-(4(x+2)^2)/(25)=1

Lösung

\frac{( y + 3 ) ^{2}}{9} - \frac{4 ( x + 2 ) ^{2}}{25} = 1

Lösung

(h, k) = (- 2, - 3), a = 3, b = \frac{5}{2}

Schritte zur Lösung

\frac{( y + 3 ) ^{2}}{9} - \frac{4 ( x + 2 ) ^{2}}{25} = 1

Rewrite

\frac{( y + 3 ) ^{2}}{9} - \frac{4 ( x + 2 ) ^{2}}{25} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 2, - 3), a = 3, b = \frac{5}{2}

Graph

Beliebte Beispiele

y^{2} - z^{2} = 16

y^{2} = x^{2} + 169

((x-3)^2)/9-((y-1)^2)/4 =1

\frac{( x - 3 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{4} = 1

((y-4)^2)/(28)-((x+1)^2)/(21)=1

\frac{( y - 4 ) ^{2}}{28} - \frac{( x + 1 ) ^{2}}{21} = 1

((y+9)^2)/(92)-((x+8)^2)/(36)=17

\frac{( y + 9 ) ^{2}}{92} - \frac{( x + 8 ) ^{2}}{36} = 17