Question 1173278
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The focus is to the right of the directrix, so the parabola opens to the right.  The equation is<br>
{{{(x-h) = (1/(4p))(y-k)^2}}}<br>
where the vertex is (h,k) and p is the directed distance (i.e., can be negative) from the directrix to the vertex and from the vertex to the focus.<br>
The vertex is halfway between the directrix and focus, so the vertex is (h,k) = (0,0).  That makes p = 8.<br>
Plug in the values of h, k, and p:<br>
{{{(x-0) = (1/(4(8)))(y-0)^2}}}<br>
{{{x = (1/32)y^2}}}<br>