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Beliebt Geometry >

achse ((x+1)^2)/(64)+((y-6)^2)/(16)=1

Lösung

achse

\frac{( x + 1 ) ^{2}}{64} + \frac{( y - 6 ) ^{2}}{16} = 1

Lösung

semi - major axis a = 8, semi - minor axis b = 4

Schritte zur Lösung

\frac{( x + 1 ) ^{2}}{64} + \frac{( y - 6 ) ^{2}}{16} = 1

Rewrite

\frac{( x + 1 ) ^{2}}{64} + \frac{( y - 6 ) ^{2}}{16} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 1 ) ) ^{2}}{8 ^{2}} + \frac{( y - 6 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 1, 6), a = 8, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 1, 6), a = 8, b = 4

Graph

Beliebte Beispiele

achse (x^2)/(144)+(y^2)/(81)=1

a x i s \frac{x ^{2}}{144} + \frac{y ^{2}}{81} = 1

achse 16x^2-64x+9y^2-54y=-1

a x i s 16 x^{2} - 64 x + 9 y^{2} - 54 y = - 1

achse 4x^2+9y^2-64x+54y+301=0

a x i s 4 x^{2} + 9 y^{2} - 64 x + 54 y + 301 = 0

achse x^2+4y^2=10

a x i s x^{2} + 4 y^{2} = 10

achse ((x-5)^2}{25}+\frac{(y-4)^2)/4 =1

a x i s \frac{( x - 5 ) ^{2}}{25} + \frac{( y - 4 ) ^{2}}{4} = 1