Question

can somebody help me.
1.Derive the equation of the parabola with a focus at (4, −7) and a directrix of y = −15. Put the equation in standard form.
Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = −1
Derive the equation of the parabola with a focus at (−7, 5) and a directrix of y = −11

Answer 1

and the last one is focus (2,-1)
directrix
\[y=-\frac{ 1 }{ 2 }\]