Find an equation of a parabola with a vertex at the origin and directrix y = –3.5

A. y = –start fraction 1 over 14 end fractionx2
B. y = start fraction 1 over 14 end fractionx2
C. x = start fraction 1 over 14 end fractiony2
D. x = –start fraction 1 over 14 end fractiony2

x^2 = 4py has directrix at y = -p

so p = 7/2
x^2 = 14y
or
y = 1/14 x^2

The correct answer is B. y = start fraction 1 over 14 end fractionx2.