document.write( "Question 525622: Please explain this to me.\r
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document.write( "I have to graph each function and state it's domain and range.
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document.write( "y = sqrt(x-3) + 3\r
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document.write( "and y = sqrt(x+1)-2\r
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document.write( "Thank you for taking the time to help me. \n" );
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Algebra.Com's Answer #348656 by lwsshak3(11628)![]() ![]() ![]() 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( " \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( " |