# Chapter 10 - Analytic Geometry - 10.1 Parabolas - 10.1 Exercises - Page 966: 5

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 $\left[ -\infty ,\infty \right]$

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