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Beliebt Geometry >

-y=x^2+y^2

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

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

x(100-3x)+y(192-6y)=0

x (100 - 3 x) + y (192 - 6 y) = 0

3x^2+4y^2+24x-16y+52=0

3 x^{2} + 4 y^{2} + 24 x - 16 y + 52 = 0

((x-6)^2)/(36)+((y+4)^2)/(16)=1

\frac{( x - 6 ) ^{2}}{36} + \frac{( y + 4 ) ^{2}}{16} = 1

((x-3)^2)/(36)+((y-3)^2)/(32)=1

\frac{( x - 3 ) ^{2}}{36} + \frac{( y - 3 ) ^{2}}{32} = 1