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Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7.
I got clothes for christmas again :(
write it as standard form (x-a)^2=4p(y-b)
vertex is at midpoint of focus and directrix ---> (-5+7)/2 = 1 so vertex is at (-5,1) distance from focus to vertex is (1-(-5)) = 6 a = 1/(4*6) = 1/24 \[y = \frac{1}{24}(x+5)^{2} +1\]
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