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Beliebt Geometry >

y^2=1-4x^2

Lösung

y^{2} = 1 - 4 x^{2}

Lösung

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

Schritte zur Lösung

y^{2} = 1 - 4 x^{2}

Rewrite

y^{2} = 1 - 4 x^{2}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 1, a = \frac{1}{2}

Graph

Beliebte Beispiele

9x^2+49y^2-98y-392=0

9 x^{2} + 49 y^{2} - 98 y - 392 = 0

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

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

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

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

(x^2)/(25)+(y^2)/(49)=1

\frac{x ^{2}}{25} + \frac{y ^{2}}{49} = 1