Question 1187471
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Vertices (0,0) and (0,8) mean the center is (h,k) = (0,4) and the major axis is vertical, with semi-major axis (a) length 4.  The equation is<br>
{{{(x-h)^2/b^2+(y-k)^2/a^2=1}}}<br>
You have the coordinates of the center and the value of parameter a.  So you can determine a^2, and all you need to finish writing the equation is the value of b^2.<br>
To find b^2, use {{{c^2=a^2-b^2}}}, where c is the distance from the center to each focus.<br>
Since you know the center and are given the focus, you can determine c, and thus calculate b^2.<br>
Then you will have all you need to write the equation.<br>