((y-6)^2)/(36)+((x+3)^2)/(16)=1

Lösung

\frac{( y - 6 ) ^{2}}{36} + \frac{( x + 3 ) ^{2}}{16} = 1

(h, k) = (- 3, 6), a = 4, b = 6

Schritte zur Lösung

\frac{( y - 6 ) ^{2}}{36} + \frac{( x + 3 ) ^{2}}{16} = 1

Rewrite

\frac{( y - 6 ) ^{2}}{36} + \frac{( x + 3 ) ^{2}}{16} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 3 ) ) ^{2}}{4 ^{2}} + \frac{( y - 6 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 3, 6), a = 4, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 3, 6), b = 6, a = 4

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

\frac{( x - 1 ) ^{2}}{5} + \frac{( y - 3 ) ^{2}}{4} = 1

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

9 x^{2} + y^{2} + 144 x = - 567

x^{2} + 4 y^{2} + 2 x - 12 y + 6 = 0