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Beliebt Geometry >

4x^2+y^2=4y

Lösung

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

Lösung

(h, k) = (0, 2), a = 1, b = 2

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 2), a = 1, 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 = 1

Graph

Beliebte Beispiele

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

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

(x^2)/(36)+((y+9)^2)/(81)=1

\frac{x ^{2}}{36} + \frac{( y + 9 ) ^{2}}{81} = 1

(x-3)^2+((y+1)^2)/(49)=1

(x - 3)^{2} + \frac{( y + 1 ) ^{2}}{49} = 1

22y^2+32x^2-308y-512x+2.422=0

22 y^{2} + 32 x^{2} - 308 y - 512 x + 2.422 = 0

-3y^2-3x^2+5x+10y=5x^2+1

- 3 y^{2} - 3 x^{2} + 5 x + 10 y = 5 x^{2} + 1