Question 1031488
If the directrix is {{{x=3}}}, then you learn that the parabola opens to the left. 
The distance from the focus to vertex is equal to the distance from vertex to directrix.
{{{V[x]-(-5)=3-V[x]}}}
{{{V[x]+5=3-V[x]}}}
{{{2V[x]=-2}}}
{{{V[x]=-1}}}
The y coordinate of the vertex is equal to the y coordinate of the focus.
({{{-1}}},{{{-4}}})

{{{(x+5)^2+(y+4)^2=(x-3)^2}}}
{{{(x^2+10x+25)+(y+4)^2=x^2-6x+9}}}
{{{-16x-16=(y+4)^2}}}
{{{-16x=(y+4)^2+16}}}
{{{x=-(y+4)^2/16-1}}}