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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

Graph

Beliebte Beispiele

9x^2+36y^2+18x-360y+585=0

9 x^{2} + 36 y^{2} + 18 x - 360 y + 585 = 0

(x^2)/(49)+(y^2)/(24)=1

\frac{x ^{2}}{49} + \frac{y ^{2}}{24} = 1

16x^2+25y^2-64x-336=0

16 x^{2} + 25 y^{2} - 64 x - 336 = 0

x^{2} + 2 y^{2} - 4 y = 6

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