In the given graph, we can observe a parabola.
According to the graph, its vertex is located at (-1,-1)
The answer options are written in vertex form:
[tex]y=(x-h)^2+k[/tex]
Where (h,k) are the coordinates of the vertex. So, h=-1 and k=-1.
If we replace these values into the formula we obtain:
[tex]\begin{gathered} y=(x-(-1))^2+(-1) \\ y=(x+1)^2-1 \end{gathered}[/tex]
The answer is:
[tex]f(x)=(x+1)^2-1[/tex]
