SOLUTION: write an equation of an ellipse with co-vertices of (-3,0) and (3,0), and vertices (0,-5). Graph the ellipse

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Question 459550: write an equation of an ellipse with co-vertices of (-3,0) and (3,0), and vertices (0,-5). Graph the ellipse
Answer by Edwin McCravy(20056) About Me  (Show Source):
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write an equation of an ellipse with co-vertices of (-3,0) and (3,0), and vertices (0,-5). Graph the ellipse
We plot the 2 vertices and the 2 co-vertices: 



We sketch in the graph of the ellipse:



The equation of an ellipse with center (0,0) which has its major
axis vertical is

xイ   yイ
覧 + 覧 = 1
bイ   aイ

Where "a" represents the number of units from the center 
to either of it vertices and "b" represents the number of
units from the center to either of its co-vertices.  So
a = 5 and b = 3 and the equation is:

xイ   yイ
覧 + 覧 = 1
3イ   5イ

or

xイ   yイ
覧 + 覧 = 1
9    25

Edwin