MTH103 TMA4 Questions and Solutions : Find the equation of the parabola with focus (-1,4) and directrix y=3

Find the equation of the parabola with focus (-1,4) and directrix y=3
a) $y=\frac{1}{2}x^{2}+x+4$
b) $y=-\frac{1}{2}x^{2}+x+4$
c) $y=\frac{1}{2}x^{2}-x+4$
d) $y=\frac{1}{2}x^{2}+x-4$

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