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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

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

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

3 x^{2} + 5 y^{2} - 6 = 0

x^2+4x+4y^2-8y+4=0

x^{2} + 4 x + 4 y^{2} - 8 y + 4 = 0

3 x^{2} + 8 y^{2} = 24

x^2+4y^2+2x-16y+1=0

x^{2} + 4 y^{2} + 2 x - 16 y + 1 = 0