Derive the equation of the parabola with a focus at (−7, 5) and a directrix of y = −11.
f(x) = one thirty second (x + 7)2 − 3
f(x) = −one thirty second (x + 7)2 − 3
f(x) = −one thirty second (x − 7)2 − 3
f(x) = one thirty second (x − 7)2 − 3

In this problem, given the focus at (-7,5) and directrix at y = -11. then it is implied that the parabola is facing upwards. The vertex hence is at the middle of the focus and the directrix, hence at (-7, -3). The general formula of the parabola is y-k = 4a  ( x-h)^2. SUbstituting, y + 3 = 1/30 *(x+7)^2. Answer i sA.