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Beliebt Geometry >

4x^2+16x+16y^2-32y-32=0

Lösung

4 x^{2} + 16 x + 16 y^{2} - 32 y - 32 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} + 16 x + 16 y^{2} - 32 y - 32 = 0

Rewrite

4 x^{2} + 16 x + 16 y^{2} - 32 y - 32 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

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9 x^{2} + 25 y^{2} + 18 x - 50 y = 191

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