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Beliebt Geometry >

4(x-3)^2+2(y+4)^2=16

Lösung

4 (x - 3)^{2} + 2 (y + 4)^{2} = 16

Lösung

(h, k) = (3, - 4), a = 2, b = 22

Schritte zur Lösung

4 (x - 3)^{2} + 2 (y + 4)^{2} = 16

Rewrite

4 (x - 3)^{2} + 2 (y + 4)^{2} = 16

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (3, - 4), a = 2, b = 22

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (3, - 4), b = 22, a = 2

Graph

Beliebte Beispiele

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