Question 769177: What is the equation of the ellipse with foci (2, 0), (-2, 0) and vertices (7, 0), (-7, 0)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! What is the equation of the ellipse with foci (2, 0), (-2, 0) and vertices (7, 0), (-7, 0)
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Given ellipse has a horizontal major axis
It standard form of equation:  , a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
center: (0,0)
a=7 (distance from center to vertices)
a^2=49
c=2 (distance from center to foci)
c^2=4
c^2=a^2-b^2
b^2=a^2-c^2=49-4=45
Equation of given ellipse:
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