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Beliebt Geometry >

((x-1)^2)/4-((y+1)^2)/8 =1

Lösung

\frac{( x - 1 ) ^{2}}{4} - \frac{( y + 1 ) ^{2}}{8} = 1

Lösung

(h, k) = (1, - 1), a = 2, b = 22

Schritte zur Lösung

\frac{( x - 1 ) ^{2}}{4} - \frac{( y + 1 ) ^{2}}{8} = 1

Rewrite

\frac{( x - 1 ) ^{2}}{4} - \frac{( y + 1 ) ^{2}}{8} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (1, - 1), a = 2, b = 22

Graph

Beliebte Beispiele

-9x^2+y^2+54x-117=0

- 9 x^{2} + y^{2} + 54 x - 117 = 0

y^2=6^2+x^2+2*6*x*0.5

y^{2} = 6^{2} + x^{2} + 2 \cdot 6 \cdot x \cdot 0.5

y^1y=(x+2)(x-1)

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

3(x-1)^2=6+2(y+1)^2

3 (x - 1)^{2} = 6 + 2 (y + 1)^{2}

(x-5)^2-(y-4)^2=25

(x - 5)^{2} - (y - 4)^{2} = 25