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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

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

x^{2} 64 + y^{2} 49 = 1

((x+1)^2)/(16)+((y+1)^2)/(25)=1

\frac{( x + 1 ) ^{2}}{16} + \frac{( y + 1 ) ^{2}}{25} = 1

((x-1)^2)/(13)+((y+5)^2)/(12)=1

\frac{( x - 1 ) ^{2}}{13} + \frac{( y + 5 ) ^{2}}{12} = 1

x^2+2y^2-8y-32=0

x^{2} + 2 y^{2} - 8 y - 32 = 0