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Beliebt Geometry >

((x-6)^2)/4-((y+7)^2)/(36)=1

Lösung

\frac{( x - 6 ) ^{2}}{4} - \frac{( y + 7 ) ^{2}}{36} = 1

Lösung

(h, k) = (6, - 7), a = 2, b = 6

Schritte zur Lösung

\frac{( x - 6 ) ^{2}}{4} - \frac{( y + 7 ) ^{2}}{36} = 1

Rewrite

\frac{( x - 6 ) ^{2}}{4} - \frac{( y + 7 ) ^{2}}{36} = 1

in the form of a standard hyperbola equation

\frac{( x - 6 ) ^{2}}{2 ^{2}} - \frac{( y - ( - 7 ) ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (6, - 7), a = 2, b = 6

Graph

Beliebte Beispiele

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

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

((y+3)^2)/((64))-((x-2)^{(2)})/((84))=1

\frac{( y + 3 ) ^{2}}{( 64 )} - \frac{( x - 2 ) ^{(2)}}{( 84 )} = 1

5x^2-4y^2-20x+8y-4=0

5 x^{2} - 4 y^{2} - 20 x + 8 y - 4 = 0

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

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

25x^2-4y^2-100x-16y-16=0

25 x^{2} - 4 y^{2} - 100 x - 16 y - 16 = 0