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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (- 1, - 1), a = 3, b = 2

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 1, - 1), a = 3, b = 2

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 1, - 1), b = 2, a = 3

Graph

Beliebte Beispiele

((x+4)^2)/(49)+((y-4)^2)/(25)=1

\frac{( x + 4 ) ^{2}}{49} + \frac{( y - 4 ) ^{2}}{25} = 1

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

solvefor f,f=3-xf(x)^{-1}(x)

so l v e f or f, f = 3 - x f (x)^{- 1} (x)

((x+3)^2)/9+((y-1)^2)/(25)-1=0

\frac{( x + 3 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{25} - 1 = 0

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

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