Answer :

First equation:

[tex]y=\mleft(x+1\mright)^2[/tex]

Since it is of the form

[tex](x-h)^2=4a(y-k)[/tex]

Hence, it is a parabola and it is an open upward parabola.

The vertex of the given equation is, (-1, 0).

Second equation:

[tex]y+3=4\mleft(x+1\mright)^2[/tex]

Since it is of the form

[tex](x-h)^2=4a(y-k)[/tex]

Hence, it is a parabola and it is an open upward parabola.

The vertex of the this equation is, (-1, -3).