Question 1140354
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Focus (4,6) and directrix y=0 means the vertex is (4,3); the parabola opens upward.<br>
The general form of the equation of a parabola with vertex (h,k) that opens up or down is<br>
{{{(y-k) = (1/(4p))(x-h)^2}}}<br>
where p is the directed distance from the vertex to the focus; for this example, p=3.  Then the formula for this parabola is<br>
{{{(y-3) = (1/12)(x-4)^2}}}