F (x) ≥ - (x+4) ^2

axis of symmetry:

vertex:

so the vertex is (-4, 0) and the axis of symmetry is x=-4

Step-by-step explanation:

f (x) ≥ - (x+4) ^2

f (x) ≥ - (x - - 4) ^2

this is in the form

f (x) > a (x-h) ^2 + k

where (h, k) is the vertex and h is the axis of symmetry

so the vertex is (-4, 0) and the axis of symmetry is x=-4