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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

(x + 2)^{2} - 1 + 4 (y + 1)^{2} = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

27x^2+48y^2=192y+54x+213

27 x^{2} + 48 y^{2} = 192 y + 54 x + 213

solvefor x,x^2+(piR(x)^2)/2 =200

so l v e f or x, x^{2} + \frac{π R ( x ) ^{2}}{2} = 200

((x^2))/((29))+((y^2))/((24))=1

\frac{( x ^{2} )}{( 29 )} + \frac{( y ^{2} )}{( 24 )} = 1

36x^2+16y^2+96y-180x-207=0

36 x^{2} + 16 y^{2} + 96 y - 180 x - 207 = 0

2x^2+3y^2-4x+12y-20=0

2 x^{2} + 3 y^{2} - 4 x + 12 y - 20 = 0