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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

((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

(x^2)/6-(y^2)/8 =1

\frac{x ^{2}}{6} - \frac{y ^{2}}{8} = 1

16x^2-96x-9y^2-18y-9=0

16 x^{2} - 96 x - 9 y^{2} - 18 y - 9 = 0

(r-4)^2=(t+4)^2+32

(r - 4)^{2} = (t + 4)^{2} + 32