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Beliebt Geometry >

y^2+2x^2=1

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

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

asymptoten ((y+3)^2)/9-((x-2)^2)/(16)=1

a sy m pt o t es \frac{( y + 3 ) ^{2}}{9} - \frac{( x - 2 ) ^{2}}{16} = 1

y^2-10y-12x+37=0

y^{2} - 10 y - 12 x + 37 = 0

(x^2)/(a^2)-(y^2)/(b^2)=1

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

scheitelpunkte f(x)=x^2-2x

v er t i ces f (x) = x^{2} - 2 x

scheitelpunkte (x^2}{25}+\frac{y^2)/9 =1

v er t i ces \frac{x ^{2}}{25} + \frac{y ^{2}}{9} = 1