Question 857856
Something is missing. An {{{red(equa)}}}{{{tion}}} must have an {{{red(equa)}}}{{{l}}} sign.
Maybe you meant to type {{{x^2 + 4x + 4y + 16 = 0}}} and you got a + sign instead of the = sign.
 
{{{x^2 + 4x + 4y + 16 = 0}}}<-->{{{x^2+4x=-4y-16}}}<-->{{{x^2+4x+4=-4y-16+4)}}}<-->{{{(x+2)^2=-4y-12}}}<-->{{{(x+2)^2=-4(y+3)}}}<-->{{{y+3=-(1/4)(x+2)^2}}}<-->{{{y=-(1/4)(x+2)^2-3}}}
is the equation of a parabola with the vertical axis of symmetry
{{{x+2=0}}}<-->{{{x=-2}}} ,
and the vertex at (-2,-3).
The focal distance is {{{1}}} ,
and the focus and the rest of the parabola is below (-2,-3).