Question 459800
We write this equation in the standard form {{{ y^2=a(x-h)^2+k }}}

{{{y=x^2 +2x +1-1-3}}}=>{{{y=(x+1)^2-4}}}, which represent an upward parabola.

Since its vertex is the point (-1, -4) the minimum value for y is -4, therefore 

its range is the interval (-4, {{{infinity}}}) or in set notation {y|y>-4}