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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

12x^2+10y^2=120

12 x^{2} + 10 y^{2} = 120

25x^2+9y^2-50x+54y-119=0

25 x^{2} + 9 y^{2} - 50 x + 54 y - 119 = 0

16x^2+25y^2+64x+150y-111=0

16 x^{2} + 25 y^{2} + 64 x + 150 y - 111 = 0

((x-1)^2)/(81)+((y-2)^2)/(25)=1

\frac{( x - 1 ) ^{2}}{81} + \frac{( y - 2 ) ^{2}}{25} = 1

9(x-3)^2+16(y+4)^2=144

9 (x - 3)^{2} + 16 (y + 4)^{2} = 144