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Beliebt Geometry >

((x-5)^2)/4+((y+3)^2)/(16)=1

Lösung

\frac{( x - 5 ) ^{2}}{4} + \frac{( y + 3 ) ^{2}}{16} = 1

Lösung

(h, k) = (5, - 3), a = 2, b = 4

Schritte zur Lösung

\frac{( x - 5 ) ^{2}}{4} + \frac{( y + 3 ) ^{2}}{16} = 1

Rewrite

\frac{( x - 5 ) ^{2}}{4} + \frac{( y + 3 ) ^{2}}{16} = 1

in the form of the standard ellipse equation

\frac{( x - 5 ) ^{2}}{2 ^{2}} + \frac{( y - ( - 3 ) ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (5, - 3), a = 2, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (5, - 3), b = 4, a = 2

Graph

Beliebte Beispiele

foki ((y-3)^2}{11}-\frac{(x+1)^2)/5 =1

x^2+2x+y^2+4y=20