Answer
domain is $\left[ -4,\infty \right] ;$ and the range is $\left[ -\infty ,\infty \right] $
Work Step by Step
$x-k=a\left( y-c\right) ^{2}\Rightarrow vertex=\left( k,c\right) \Rightarrow x+4=y^{2}\Rightarrow x-\left( -4\right) =1\times \left( y-0\right) ^{2}\Rightarrow vertex=\left( -4,0\right) $
$a=1>0$ then graph opens to right
Plotting few points we get graph of parabola
As we see from graph domain is $\left[ -4,\infty \right] ;$ and the range is $\left[ -\infty ,\infty \right] $