Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

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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