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Beliebt Geometry >

-16y+52=-2x^2-8x-y^2

Lösung

- 16 y + 52 = - 2 x^{2} - 8 x - y^{2}

Lösung

(h, k) = (- 2, 8), a = 10, b = 25

Schritte zur Lösung

- 16 y + 52 = - 2 x^{2} - 8 x - y^{2}

Rewrite

- 16 y + 52 = - 2 x^{2} - 8 x - y^{2}

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{( 10 ) ^{2}} + \frac{( y - 8 ) ^{2}}{( 2 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, 8), a = 10, b = 25

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, 8), b = 25, a = 10

Graph

Beliebte Beispiele

10 x^{2} + 4 y^{2} = 14

((x+6)^2)/(25)+((y+1)^2)/(16)=1

\frac{( x + 6 ) ^{2}}{25} + \frac{( y + 1 ) ^{2}}{16} = 1

5 x^{2} + 10 y^{2} = 5

3x^2+3y^2+36y=0

3 x^{2} + 3 y^{2} + 36 y = 0

(x^2)/(49)+(y^2)/(48)=1

\frac{x ^{2}}{49} + \frac{y ^{2}}{48} = 1