Question

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Answer 1

All correct, up to foci.
The only point is that centre is at (h,k), not (k,h).

Answer 2

I believe you missed out the minor vertices.

Answer 3

The major axis is vertical, so major vertices are \((h, k\pm b)\)
Similarly, the minor vertices are \((h\pm a, k)\)

Answer 4

The foci should be on the major axis, so you're good.

Answer 5

Oh, sorry, I missed it. :(
For a vertical major axis, only the y varies, so foci would be \((h,k\pm b)\).
For a horizontal major axis, only the x varies, so foci would be \((h\pm a,k)\).

Answer 6

Correction:
change the a & b to c

Answer 7

For a vertical major axis, only the y varies, so foci would be (h,k±c).
For a horizontal major axis, only the x varies, so foci would be (h±c,k).

Answer 8

No, your other answers are good, they do not depend on the foci location.

Answer 9

You're welcome and it's a pleasure to work with you! :)