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Beliebt Geometry >

((x-4)/6)^2+((y+2)/(sqrt(6)))^2=1

Lösung

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

Lösung

(h, k) = (4, - 2), a = 6, b = 6

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (4, - 2), a = 6, b = 6

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (4, - 2), a = 6, b = 6

Graph

Beliebte Beispiele

4 x^{2} + 9 y^{2} = 11

((x-4)^2)/9+((y+2)^2)/4 =1

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

25x^2+4y^2-50x+40y=-25

25 x^{2} + 4 y^{2} - 50 x + 40 y = - 25

36x^2+64y^2+180x-256y-95=0

36 x^{2} + 64 y^{2} + 180 x - 256 y - 95 = 0

3 x^{2} + y^{2} = x + y