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Beliebt Geometry >

((x+2)/4)^2+((y-3)/(16))^2=1

Lösung

(\frac{x + 2}{4})^{2} + (\frac{y - 3}{16})^{2} = 1

Lösung

(h, k) = (- 2, 3), a = 4, b = 16

Schritte zur Lösung

(\frac{x + 2}{4})^{2} + (\frac{y - 3}{16})^{2} = 1

Rewrite

(\frac{x + 2}{4})^{2} + (\frac{y - 3}{16})^{2} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{4 ^{2}} + \frac{( y - 3 ) ^{2}}{1 6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, 3), a = 4, b = 16

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, 3), b = 16, a = 4

Graph

Beliebte Beispiele

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

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4 x^{2} + 9 y^{2} = 72

4x^2+y^2-8x+6y+1=0

4 x^{2} + y^{2} - 8 x + 6 y + 1 = 0