Hello need a little help on standard equation section. Thank you!

Given: a data is given
Find : the empty space
Explanation:
1-Conic: parabola
5- Domain-
[tex](-\infty,\infty)[/tex]Range:
[tex](-\infty,0][/tex]2-Standard equation:
[tex](x-2)^2=-4a(y+2)[/tex]3-Graph
4- Vertex:(2,-2)
AOS:x=2
Focus:(2,-3)
Directrix: y=-1