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Beliebt Geometry >

x^2-4y^2+8x+16y-4=0

Lösung

x^{2} - 4 y^{2} + 8 x + 16 y - 4 = 0

Lösung

(h, k) = (- 4, 2), a = 2, b = 1

Schritte zur Lösung

x^{2} - 4 y^{2} + 8 x + 16 y - 4 = 0

Rewrite

x^{2} - 4 y^{2} + 8 x + 16 y - 4 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 4, 2), a = 2, b = 1

Graph

Beliebte Beispiele

((y-2)^2)/(16)-((x+1)^2)/(144)=1

\frac{( y - 2 ) ^{2}}{16} - \frac{( x + 1 ) ^{2}}{144} = 1

16x^2-160x-16y^2-128y-112=0

16 x^{2} - 160 x - 16 y^{2} - 128 y - 112 = 0

[f(x)]^2=3x^2-x+2

[f (x)]^{2} = 3 x^{2} - x + 2

(x^2)/5-(y^2)/4 =1

\frac{x ^{2}}{5} - \frac{y ^{2}}{4} = 1

y^{2} = 4 + z^{2} - 2 z