document.write( "Question 525622: Please explain this to me.\r
\n" ); document.write( "\n" ); document.write( "I have to graph each function and state it's domain and range.
\n" ); document.write( "y = sqrt(x-3) + 3\r
\n" ); document.write( "\n" ); document.write( "and y = sqrt(x+1)-2\r
\n" ); document.write( "\n" ); document.write( "Thank you for taking the time to help me.
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Algebra.Com's Answer #348656 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
I have to graph each function and state it's domain and range.
\n" ); document.write( "y = sqrt(x-3) + 3
\n" ); document.write( "and y = sqrt(x+1)-2
\n" ); document.write( "**
\n" ); document.write( "y=√(x-3)+3
\n" ); document.write( "Domain:
\n" ); document.write( "Since there are no denominators, the only restriction is in the radical.
\n" ); document.write( "In all sqrts, the radican must be≥0
\n" ); document.write( "x-3≥0
\n" ); document.write( "x≥3
\n" ); document.write( "Domain:[3,∞)
\n" ); document.write( "Range:[3,∞) (basic √x curve bumped up 3 units)
\n" ); document.write( "..
\n" ); document.write( "Graphing:
\n" ); document.write( "Start with the basic √x with points at (0,0), (1,1) (9,3) and (16,4)
\n" ); document.write( "Move x coordinates 3 units to the right (3,0), (4,1) (12,3) and (19,4)
\n" ); document.write( "Finally, add 3 units to the y-coordinate: (3,3), (4,4) (12,6) and (19,7)
\n" ); document.write( "In effect, you are shifting the basic √x curve 3 units to the right and raising it 3 units vertically.
\n" ); document.write( "see graph below as a visual check on the answers:
\n" ); document.write( "..
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%28x-3%29%5E.5%2B3%29+\"
\n" ); document.write( "..
\n" ); document.write( "y=√(x+1)-2
\n" ); document.write( "I will let you do this one.
\n" ); document.write( "The graph below can be a visual check on your answers:
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%28x%2B1%29%5E.5-2%29+\"
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