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Beliebt Geometry >

((y-4)^2)/(16)-((x+3)^2)/(36)=1

Lösung

\frac{( y - 4 ) ^{2}}{16} - \frac{( x + 3 ) ^{2}}{36} = 1

Lösung

(h, k) = (- 3, 4), a = 4, b = 6

Schritte zur Lösung

\frac{( y - 4 ) ^{2}}{16} - \frac{( x + 3 ) ^{2}}{36} = 1

Rewrite

\frac{( y - 4 ) ^{2}}{16} - \frac{( x + 3 ) ^{2}}{36} = 1

in the form of a standard hyperbola equation

\frac{( y - 4 ) ^{2}}{4 ^{2}} - \frac{( x - ( - 3 ) ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 3, 4), a = 4, b = 6

Graph

Beliebte Beispiele

y/(4x^2-9y^2)=36

\frac{y}{4 x ^{2} - 9 y ^{2}} = 36

((x-7)^2}{16}-\frac{y^2)/9 =1

\frac{( x - 7 ) ^{2}}{16} - \frac{y ^{2}}{9} = 1

16x^2-32x=9y^2+144y-16

16 x^{2} - 32 x = 9 y^{2} + 144 y - 16

y^{(2)}-x^{(2)}=(1/49)

y^{(2)} - x^{(2)} = (\frac{1}{49})

9x^2-4y^2-72x+8y+17=0

9 x^{2} - 4 y^{2} - 72 x + 8 y + 17 = 0