We plot the center and focus:
So we know that c = 2 since c is the distance
from the center to the focus.
We also know that the ellipse is like this
so its equation is
We also know that the other focus is 2 units on the
left of the center, at (-2,0) so we plot that too:
Since we know that 7/3 is one-half length of the minor axis,
that means that that b = 7/3, the semi-minor axis.
So we know that the top point (sometimes called the top covertex)
is (0,7/3), so we plot that too, as well as the other covertex at
(0,-7/3):
The ellipse equation for a,b, and c is
, so
That's about 3.073, so we plot the vertices, too,
at
So the equation
becomes:
You can simplify it to
if you like.
Edwin