1/2 x^2+1/8 y^2= 1/4

Lösung

\frac{1}{2} x^{2} + \frac{1}{8} y^{2} = \frac{1}{4}

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

Schritte zur Lösung

\frac{1}{2} x^{2} + \frac{1}{8} y^{2} = \frac{1}{4}

Rewrite

\frac{1}{2} x^{2} + \frac{1}{8} y^{2} = \frac{1}{4}

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

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

16 x^{2} + 4 y^{2} - 128 x - 16 y + 206 = 0

2 x^{2} + 6 y^{2} = 168

\frac{( x + 4 ) ^{2}}{0.25} + \frac{( y - 8 ) ^{2}}{1} = 1

3 x^{2} + z^{2} = 8 - x^{2} - z^{2}