Question 1174803
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eccentricity e=1 means we have a parabola.<br>
Vertex at the origin and focus at (0,9) means the parabola opens upward.  The general equation is<br>
{{{y = (1/(4p))(x^2)}}}<br>
In that form, p is the directed distance from the vertex to the focus.<br>
In this example, that distance is 9.  So the equation is<br>
{{{y = (1/36)(x^2)}}}<br>