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Beliebt Geometry >

(x-1)^2+(2y+4)^2=16

Lösung

(x - 1)^{2} + (2 y + 4)^{2} = 16

Lösung

(h, k) = (1, - 2), a = 4, b = 2

Schritte zur Lösung

(x - 1)^{2} + (2 y + 4)^{2} = 16

Rewrite

(x - 1)^{2} + (2 y + 4)^{2} = 16

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, - 2), a = 4, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, - 2), a = 4, b = 2

Graph

Beliebte Beispiele

64xx-256x+81yy+810y=2903

64 xx - 256 x + 81 yy + 810 y = 2903

9x^2+36y^2+36x-216y+36=0

9 x^{2} + 36 y^{2} + 36 x - 216 y + 36 = 0

25x^2+16y^2-400=0

25 x^{2} + 16 y^{2} - 400 = 0

4x^2+9y^2-24x-36y+36=0

4 x^{2} + 9 y^{2} - 24 x - 36 y + 36 = 0

x^{2} + 9 y^{2} = 3