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Beliebt Geometry >

(x-1)^2-(y-4)^2=16

Lösung

(x - 1)^{2} - (y - 4)^{2} = 16

Lösung

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

Schritte zur Lösung

(x - 1)^{2} - (y - 4)^{2} = 16

Rewrite

(x - 1)^{2} - (y - 4)^{2} = 16

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Graph

Beliebte Beispiele

y^{2} = x^{2} + 289

-3y^2+18x^2=-y-2

- 3 y^{2} + 18 x^{2} = - y - 2

9a^2-b^2+81=13a-18b-81

9 a^{2} - b^{2} + 81 = 13 a - 18 b - 81

((x+2)^2)/9-((y-1)^2)/4 =1

\frac{( x + 2 ) ^{2}}{9} - \frac{( y - 1 ) ^{2}}{4} = 1

x^{2} = 2 y^{2} + 6