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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

4x^2+9y^2-8x+18y-23=0

4 x^{2} + 9 y^{2} - 8 x + 18 y - 23 = 0

9x^2+y^2-18x-4y-2=0

9 x^{2} + y^{2} - 18 x - 4 y - 2 = 0

9x^2+4y^2+54x-32y+109=0

9 x^{2} + 4 y^{2} + 54 x - 32 y + 109 = 0

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

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

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