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Beliebt Geometry >

(x-1)^2=4-2(y+5)^2

Lösung

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

Lösung

(h, k) = (1, - 5), a = 2, b = 2

Schritte zur Lösung

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

Rewrite

(x - 1)^{2} - 4 + 2 (y + 5)^{2} = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, - 5), a = 2, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, - 5), a = 2, b = 2

Graph

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