Question

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Answer 1

eccentricy is defined as c/a

Answer 2

..and since c is a focus and a is a vertex .....

Answer 3

so 1/2? Ahh okay that is easy.

Answer 4

1/2 is correct

Answer 5

Here, c represents the distance between center of the ellipse and a focus.
Next, a represents the distance between center of the ellipse and a vertex.
b is the "minor axis"

I strongly suggest drawing a picture of the given ellipse, and determining whether the ellipse is a vertical or horizontal one.

If a and c are given, how would you determine b?

Answer 6

I do agree that the eccentricity is 1/2 (the ratio of c to a).

Answer 7

Although you're not required to do so, why not determine b and write out the equation of this ellipse?

Answer 8

wouldn't the equation be something like c^2 = a^2 + b^2? Or around those lines?