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So, the squared variable, is the "y", that means, the parabola is opening horizontally, over the x-axis
now, the leading term's coefficient, is positive, that means it opens to the right-hand-side, like the one in the picture below



so, we know the distance "p" is 1/8, the h,k are 3 and 2, respectively

so the vertex is at 3,2 and the focus is 1/8 from there to the right
and the directrix is 1/8 from there, to the left

focus 3+1/8 = 25/8
directrix 3 - 1/8 = 23/8

since the vertex is 3,2, and is running horizontally, the axis of symmetry will be y = 2

the latus rectum, or "focal width", will just be 4p, or 4*1/8

127 millimeters is the answer

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