Question

URGENT!!
Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = −1.

Answer choices:
a ) f(x) = -1/4 x^2
b) f(x) = 1/4 x^2
c) f(x) = -4x^2
d) f(x) = 4x^2

Answer 1

I think it is focus at (2, −1) and a directrix of y = -1/2
This tells us the parabola opens downward as directrix is above focus
also tells us the V(2, -3/4) %28-1-1%2F2%29%2F2+=+-3%2F4 where p = -1/4
a = 1/(4p), a = 1/(4(-1/4)) = -1

Answer 2

so, the answer is a?

Answer 3

yea

Answer 4

ok thank you

Answer 5

welcome