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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (0, 0), a = \frac{1}{2}, b = 2

Schritte zur Lösung

y^{2} + 1 = 4 x^{2} - 1

Rewrite

y^{2} + 1 - 4 x^{2} + 1 = 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{1}{2} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 2 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = 2

Graph

Beliebte Beispiele

x^2-y^2-2x+4y-12=0

x^{2} - y^{2} - 2 x + 4 y - 12 = 0

36x^2-4y^2-36x-8y=31

36 x^{2} - 4 y^{2} - 36 x - 8 y = 31

((x-3)^2}{16}-\frac{(y-2)^2)/9 =1

\frac{( x - 3 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{9} = 1

9x^2-4y^2+54x+16y+29=0

9 x^{2} - 4 y^{2} + 54 x + 16 y + 29 = 0

y^{2} - 9 x^{2} = 9