Question

1) Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = −1.
2) Derive the equation of the parabola with a focus at (−2, 4) and a directrix of y = 6. Put the equation in standard form.
3) Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1.
4) Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = −one half.
5) Derive the equation of the parabola with a focus at (−5, −5) and a directrix of y = 7.