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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (0, - 2), a = 2, b = 2

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, - 2), a = 2, b = 2

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, - 2), b = 2, a = 2

Graph

Beliebte Beispiele

9(x-6)^2+64(y-4)^2=576

9 (x - 6)^{2} + 64 (y - 4)^{2} = 576

6x+3y*2=4+2x^2+5y^2

6 x + 3 y \cdot 2 = 4 + 2 x^{2} + 5 y^{2}

((x+2)^2)/9+((y-4)^2)/(16)=1

\frac{( x + 2 ) ^{2}}{9} + \frac{( y - 4 ) ^{2}}{16} = 1

25x^2+64y^2=1600

25 x^{2} + 64 y^{2} = 1600

(x^2)/(25)+(y^2)/(76)=1

\frac{x ^{2}}{25} + \frac{y ^{2}}{76} = 1