What is the equation of the ellipse?

Question

anonymous · Answer

attachment

tkhunny · Answer

Looking at the four vertices and finding the center, we have (-5,1)

The ellipse must look like this (x+5)^2 and (y-1)^2

Discard the first 2

Distance from center to major focus (x-direction) is 8

The ellipse must look like this [(x+5)^2]/[8^2] and (y-1)^2

Distance from center to minor focus (y-direction) is 6

The ellipse must look like this [(x+5)^2]/[8^2] and [(y-1)^2]/[6^2]

Looks to me like #3 is the winner.

Okay, there's your free one.  Now, you do one.

anonymous · Answer

thank you!

tkhunny · Answer

Where's yours?

anonymous · Answer

what do you mean?

tkhunny · Answer

Was that your last problem in this set?  Surely there is more.  Maybe pick one from the "Challenge" section?  I want to see if you learned anything or gained any confidence.

anonymous · Answer

yes this was the last one. I kept getting a different answer each time I tried.

tkhunny · Answer

Ah, well.  We'll see you next time, then.  Remember to show your work.  Making me do it all isn't good enough.  I can't be there during your exam.  :-)