Answer:
[tex]y=(x+1)^2-1[/tex]
which agrees with the last option listed.
Step-by-step explanation:
We use the vertex form of a parabola:
[tex]y-y_v=a(x-x_v)^2[/tex]
which with the information we have becomes:
[tex]y-y_v=a(x-x_v)^2\\y-(-1)_v=a(x-(-1))^2\\y=a(x+1)^2-1[/tex]
Therefore the equation that corresponds to such vertex (-1, -1) is the last one listed among your given answer options.
[tex]y=(x+1)^2-1[/tex]
