# SOLUTION: Please, I would appreciate your help. I have to graph y = sqrt (x+1) -3 and state the domain and range. thank you so much!

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: Please, I would appreciate your help. I have to graph y = sqrt (x+1) -3 and state the domain and range. thank you so much!      Log On

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 Algebra: Rational Functions, analyzing and graphing Solvers Lessons Answers archive Quiz In Depth

 Question 527648: Please, I would appreciate your help. I have to graph y = sqrt (x+1) -3 and state the domain and range. thank you so much!Answer by Edwin McCravy(8882)   (Show Source): You can put this solution on YOUR website!```y = - 3 First draw the graph of y = Next draw the graph of y = which is the red graph shifted left 1 unit to the left. That's the green graph below: Finally draw the graph of y = - 3, which is the green graph shifted 3 units down. That's the blue graph below: To find the domain, set the expression under the square root radical ≧ 0. x + 1 ≧ 0 x ≧ -1 This is the graph of the domain: This is the interval notation for the domain: [-1,) The range is from the lowest value of y, which is -3 to infinity, represented by the inequality y ≧ -3. the green part of the vertical number line below is the graph of the range The interval notation for the range is [-3,) Edwin```