Question 47606
The distance between the focus and the vertex is the exact distance from the vertex and the directrix vertically.
The distance is 4 units.
The directrix goes through (-2,-3); since the directrix is a horizontal line, the directrix is {{{y = -3}}}.
{{{graph(600,600,-10,10,-10,10,(1/16)(x + 2)^2 + 1, -3)}}}