Question 413673
The standard form is {{{(x -h)^2 = 4p(y -k)}}}, where 

the focus is (h,k + p) 

{{{(x-1)^2-2(y+1)=0}}}

{{{(x-1)^2=2(y+1)}}}..........{{{4p=2}}}.....->{{{ p=1/2}}}

so,...->...the focus is (1, -1 + 1/2)............the focus is (1, -1/2)

and 

the directrix is y = -1 - 1/2=-3/2.



 {{{ graph( 300, 200, -6, 5, -10, 10, (x-1)^2-2(y+1)) }}}