Respuesta :

The correct answer is

[tex]y = - (x + 2)^{2} - 4[/tex]

There are three transformations to the parent function. The first is a negative sign on the left side. This makes the parabola open downward. Next, the +2 inside the parentheses moves the parabola left 2. Lastly, the -4 on the outside moves the parabola down 4.