Question 974272
The given points seem to indicate plus and minus for the x coordinates.


The center would seem to be (0,2).
a=8 and c=5.
You want to know the value for b.
{{{a^2=b^2+c^2}}}
{{{b^2=a^2-c^2}}}
{{{b^2=64-25}}}
{{{b^2=39}}}


Fill-in the standard form for an ellipse.


{{{highlight(x^2/64+(y-2)^2/39=1)}}}