SOLUTION: find an equation of the ellipse with the center at the origin one focus at (3,0) and one vertex at (-4,0)

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Question 794458: find an equation of the ellipse with the center at the origin one focus at (3,0) and one vertex at (-4,0)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find an equation of the ellipse with the center at the origin one focus at (3,0) and one vertex at (-4,0)
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Ellipse has a horizontal major axis with given center at (0,0)
Its standard form of equation: x%5E2%2Fa%5E2%2By%5E2%2Fb%5E2=1, a>b, (h,k) =(x,y)coordinates of center
..
a=4 (distance from center to vertex on the horizontal major axis)
a^2=16
c=3 (distance from focus to vertex on the horizontal major axis)c^2=9
c^2=9
c^2=a^2-b^2
b^2=a^2-c^2=16-9=7
equation: x%5E2%2F16%2By%5E2%2F7=1