Question 1121357
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The directrix is the vertical line x=1, and the vertex is (3,2).  So the parabola opens to the right.<br>
One standard form of the equation is<br>
{{{x-h = (1/(4p))(y-k)^2}}}<br>
where the vertex is (h,k) and p is the distance from the vertex to the directrix and from the vertex to the focus.<br>
In this example, the vertex is 2 to the right of the directrix, so p=2.  Then the equation is<br>
{{{x-3 = (1/8)(y-2)^2}}}