Question 1048583: Please help me answer this question?
Find an equation for the ellipse that satisfies the given conditions:
Foci (1, ±4), vertices (1, ±7)
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
Find an equation for the ellipse that satisfies the given conditions:
Foci (1, ±4),
vertices (1, ±7)
The center is midway between the two foci, so ( , ) = ( ,  ), by the Midpoint Formula.
Each focus is  units from the center, so  .
The vertices are  units from the center, so  .
Since the focus and vertex are above and below each other, rather than side by side, I know that this ellipse must be taller than it is wide. Then  will go with the  part of the equation.
The equation  gives me
 ,
and this is all I need to create my equation:
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