SOLUTION: Please help me! I am working with radicals and have to graph each function and state the domain and range y = - sqrt x -1 and y = sqrt(x-4) + 2 Thank you so much!

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Question 527646: Please help me! I am working with radicals and have to graph each function and state the domain and range
y = - sqrt x -1
and y = sqrt(x-4) + 2
Thank you so much!

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Please help me! I am working with radicals and have to graph each function and state the domain and range
..
y = - sqrt x -1
Start with the basic √x curve which starts at the origin, go thru (1,1) and slowly increases as x increases. -√x means the curve has reflected around the x-axis. Finally, -√x-1 means the entire curve has dropped vertically on unit.
..
y = sqrt(x-4) + 2
Again, starting with the basic √x curve, √(x-4) shifts the entire curve 4 units to the right. The final curve, √(x-4)+2 raises the entire curve 2 units vertically.

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