SOLUTION: Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics. vertex at (–3, 0) and co-vertex at (0, 2)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics. vertex at (–3, 0) and co-vertex at (0, 2)       Log On


   



Question 726052: Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.
vertex at (–3, 0) and co-vertex at (0, 2)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation of an ellipse in standard form with the center at the origin and with the given characteristics.
vertex at (–3, 0) and co-vertex at (0, 2)
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Given ellipse has a horizontal major axis.
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1, a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
center:(0,0)
a=3
a^2=9
b=2
b^2=4
Equation of given ellipse:
x%5E2%2F9%2By%5E2%2F4=1