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Beliebt Geometry >

((x+4)^2)/(16)+((y-5)^2)/(25)=1

Lösung

\frac{( x + 4 ) ^{2}}{16} + \frac{( y - 5 ) ^{2}}{25} = 1

Lösung

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

Schritte zur Lösung

\frac{( x + 4 ) ^{2}}{16} + \frac{( y - 5 ) ^{2}}{25} = 1

Rewrite

\frac{( x + 4 ) ^{2}}{16} + \frac{( y - 5 ) ^{2}}{25} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

((x-2)^2)/(25)+((y-2)^2)/(16)=1

\frac{( x - 2 ) ^{2}}{25} + \frac{( y - 2 ) ^{2}}{16} = 1

x^{2} = 1 - 4 y^{2}

5x^2+9y^2-18y-36=0

5 x^{2} + 9 y^{2} - 18 y - 36 = 0

4x^2+3y^2+8x-6y=5

4 x^{2} + 3 y^{2} + 8 x - 6 y = 5

y^{2} = x (4 - x) 2