What are the vertex, focus, and directrix of the parabola with the equation x^2+8x+4y+4=0

Vertex=(-4,3)

Focus=(-4, 2)

Directrix: y=4

Step-by-step explanation:

Given the equation

we have to find the vertex, focus, and directrix of parabola.

Now, k can be calculated by putting x=4 and y=k in given equation

The vertex is (h,k) i.e (-4,3)

which is required vertex form

gives p=-1

Focus=(-4, 3+(-1))=(-4,2)

Now directrix can be calculated as

y=3-p=3-(-1)=4