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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, 0), b = 2, a = 1

Graph

Beliebte Beispiele

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

\frac{x ^{2} - 4}{6 ^{2}} + \frac{y ^{2} + 4}{2 ^{2}} = 1

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

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

((x-2)^2)/4+((y+3)^2)/9 =1

\frac{( x - 2 ) ^{2}}{4} + \frac{( y + 3 ) ^{2}}{9} = 1

(x^2)/4+(y^2)/9 =2

\frac{x ^{2}}{4} + \frac{y ^{2}}{9} = 2

4x^2+y^2-32x+4y+64=0

4 x^{2} + y^{2} - 32 x + 4 y + 64 = 0