achse ((x+2)^2)/(64)+((y-1)^2)/(81)=1

Lösung

achse

\frac{( x + 2 ) ^{2}}{64} + \frac{( y - 1 ) ^{2}}{81} = 1

semi - major axis b = 9, semi - minor axis a = 8

Schritte zur Lösung

\frac{( x + 2 ) ^{2}}{64} + \frac{( y - 1 ) ^{2}}{81} = 1

Rewrite

\frac{( x + 2 ) ^{2}}{64} + \frac{( y - 1 ) ^{2}}{81} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{8 ^{2}} + \frac{( y - 1 ) ^{2}}{9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, 1), a = 8, b = 9

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, 1), b = 9, a = 8

a x i s (\frac{x - 3}{9})^{2} + (\frac{y + 1}{4})^{2} = 1

a x i s 25 x^{2} + 4 y^{2} - 50 x + 16 y - 59 = 0

a x i s \frac{( x - 4 ) ^{2}}{9} + \frac{( y + 2 ) ^{2}}{25} = 1

a x i s 4 x^{2} + 24 x + 36 + 36 y^{2} - 360 y + 756 = 0

a x i s \frac{( x - 1 ) ^{2}}{a ^{2}} + \frac{( y - 3 ) ^{2}}{b ^{2}} = 1