Reese L.

asked • 11/20/21

Find an equation of the ellipse with center at (-3,2), one focus at (-3,-5), and one vertex at (-3,-8)

help, please, and thank you!

Mark M.

Did you draw and label a diagram?
Report

11/20/21

1 Expert Answer

By:

Doug C. answered • 11/20/21

Tutor
5.0 (1,557)

Math Tutor with Reputation to make difficult concepts understandable

Reese L.

wouldn't a=64, c=25, and b=39?
Report

11/20/21

Doug C.

The center has a y coordinate of 2. The given vertex has a y-coordinate of -8. So the distance from 2 to -8 is 10, which is the value of a. It looks to me like you are thinking the distance from center to vertex is 8, which would give a value of 64 for a^2 (not a). That would be true if the center was at the origin, but it is not. Hopefully you visited the Desmos url to see the graph of the ellipse, its vertices, foci, and the center.
Report

11/20/21

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.