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Beliebt Geometry >

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

Lösung

achse

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

Lösung

semi - major axis a = 5, semi - minor axis b = 3

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{5 ^{2}} + \frac{( y - ( - 1 ) ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, - 1), a = 5, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, - 1), a = 5, b = 3

Graph

Beliebte Beispiele

achse (x^2}{16}+\frac{y^2)/4 =1

a x i s \frac{x ^{2}}{16} + \frac{y ^{2}}{4} = 1

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

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

achse x^2+4y^2=16

a x i s x^{2} + 4 y^{2} = 16

achse (x^2)/(100)+(y^2)/(64)=1

a x i s \frac{x ^{2}}{100} + \frac{y ^{2}}{64} = 1

achse 16x^2+25y^2+32x-384=0

a x i s 16 x^{2} + 25 y^{2} + 32 x - 384 = 0