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

Lösung

achse

\frac{( x + 1 ) ^{2}}{64} + \frac{( y - 1 ) ^{2}}{100} = 1

semi - major axis b = 10, semi - minor axis a = 8

Schritte zur Lösung

\frac{( x + 1 ) ^{2}}{64} + \frac{( y - 1 ) ^{2}}{100} = 1

Rewrite

\frac{( x + 1 ) ^{2}}{64} + \frac{( y - 1 ) ^{2}}{100} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 1 ) ) ^{2}}{8 ^{2}} + \frac{( y - 1 ) ^{2}}{1 0 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 1, 1), a = 8, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 1, 1), b = 10, a = 8

a x i s 4 x^{2} + 25 y^{2} + 24 x + 250 y = - 561

a x i s 16 x^{2} + 25 y^{2} + 224 x + 250 y - 191 = 0

a x i s \frac{x ^{2}}{4} + \frac{y ^{2}}{49} = 1

a x i s \frac{x ^{2}}{9} + \frac{y ^{2}}{64} = 1

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