What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)?Answer
in Algebra 2 Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The foci lie on the major axis, so in this case the y-axis is the major axis, which has length 16. The formula f²=a²-b², where a=8 is the length of the semi-major axis and ±a is the y-coord of the vertices, allows us to find b, the length of the semi-minor axis (x-axis). We know f=4 so we can find b²=8²-4²=48. So the equation of the ellipse is y²/64+x²/48=1.

by Top Rated User (599k points)

Related questions

1 answer
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
81,954 questions
86,350 answers
2,238 comments
71,713 users