Question 516523: find the standard form of the ellipse where the foci is (0,-3) and (0,3) and the vertices at (0,4) and (0,-4)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! find the standard form of the ellipse where the foci is (0,-3) and (0,3) and the vertices at (0,4) and (0,-4)
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Given data show that this an equation of an ellipse with vertical major axis of the standard form: (x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k) are the (x,y) coordinates of the center.
For given equation:
Center: (0,0)
a=4
a^2=16
..
c=3
c^2=9
..
c^2=a^2-b^2
b^2=a^2-c^2=16-9=7
b=√7
..
Equation:
x^2/7+y^2/16=1
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