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Explanation & Answer
http://www.mathwords.com/d/directrix_parabola.htm
The link defines a directrix compared to a focus.
Thus, the vertex would still be at the same axis of symmetry, which is x=-5
and your y would be directly between -5 and 7, so, y=1. Because the directrix is above the focus, the parabola points down. so a=-a.
y=a(x-h)^2+k
a has to be negative because the parabola points downward.
the vertex is (h,k) -----> (-5, 1)
y=-a(x+5)+1
So the answer has to be C, the third option.
Hope that helps (:
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