11. Analytic Geometry

Graph the parabola $-4(y+1)={(x+1)}^2$, and find the focus point and directrix line.

If a parabola has the focus at $(0,-1)$ and a directrix line $y=1$, find the standard equation for the parabola.

Graph the parabola $8(x+1)={(y-2)}^2$ , and find the focus point and directrix line.

If a parabola has the focus at $(2,4)$ and a directrix line $x=-4$ , find the standard equation for the parabola.