Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = −one half.

a. f(x) = −(x + 2)2 − three fourths

b. f(x) = (x + 2)2 + three fourths

c. f(x) = −(x − 2)2 + three fourths

d. f(x) = −(x − 2)2 − three fourths

Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = −one half.

a. f(x) = −(x + 2)2 − three fourths

b. f(x) = (x + 2)2 + three fourths

c. f(x) = −(x − 2)2 + three fourths

d. f(x) = −(x − 2)2 − three fourths