Question 722537: Write an equation of an ellipse with the given characteristics:
center: (-1,5)
vertex: (3,5)
co-vertex: (-1,7)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write an equation of an ellipse with the given characteristics:
center: (-1,5)
vertex: (3,5)
co-vertex: (-1,7)
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This is an ellipse with a horizontal major axis.(x-coordinates of center and vertex change, but y-coordinates do not)
Its standard form of equation:  , a>b, (h,k)=(x,y) coordinates of center.
For given ellipse:
center: (-1,5)
a=4 (center to vertex, (-1 to 3))
a^2=16
b=2 (5 to 7)
b^2=4
Equation: 
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