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Beliebt Geometry >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

((x-4)^2)/5+((y-6)^2)/9 =1

\frac{( x - 4 ) ^{2}}{5} + \frac{( y - 6 ) ^{2}}{9} = 1

(((x+2)^2)/(25))+(((y-1)^2)/(169))=1

(\frac{( x + 2 ) ^{2}}{25}) + (\frac{( y - 1 ) ^{2}}{169}) = 1

5 y^{2} + 4 x^{2} = \frac{5}{4}

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

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

4x^2-40x+9y^2+54y+145=0

4 x^{2} - 40 x + 9 y^{2} + 54 y + 145 = 0