document.write( "Question 598634: Can someone please show me what would a graph look like with the following functions and what are the differences of the letters: Thank you for all of your help!\r
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document.write( "g(x) = - √x
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document.write( "h(x) = √(x+3)
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document.write( "i(x)= √(x-1)+ 2
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document.write( "j(x) = √(x)+3 \r
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Algebra.Com's Answer #378655 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Can someone please show me what would a graph look like with the following functions and what are the differences of the letters: Thank you for all of your help! \n" ); document.write( "g(x) = - √x \n" ); document.write( "h(x) = √(x+3) \n" ); document.write( "i(x)= √(x-1)+ 2 \n" ); document.write( "j(x) = √(x)+3 \n" ); document.write( "** \n" ); document.write( "Before starting let me add one additional function which will help to explain differences: \n" ); document.write( "f(x)=√x \n" ); document.write( "This is your basic sqrt curve which starts from the origin and gradually increases in the positive direction to infinity. \n" ); document.write( "Domain:[0,∞) \n" ); document.write( "Range: [0,∞) \n" ); document.write( ".. \n" ); document.write( "g(x) = - √x \n" ); document.write( "Mirror image of f(x)=√x previously described \n" ); document.write( "Domain:[0,∞) \n" ); document.write( "Range: (∞,0] \n" ); document.write( ".. \n" ); document.write( "h(x) = √(x+3) \n" ); document.write( "Moves the basic curve 3 units left. (subtract 3 units from x-coordinates) \n" ); document.write( "Domain:[-3,∞) \n" ); document.write( "Range: (0,∞] \n" ); document.write( ".. \n" ); document.write( "i(x)= √(x-1)+ 2 \n" ); document.write( "Move basic curve 1 unit right and bumps curve up 2 units. (add 1 unit to x-coordinatess and 2 units to y-coordinates) \n" ); document.write( "Domain:[1,∞) \n" ); document.write( "Range: (2,∞) \n" ); document.write( ".. \n" ); document.write( "j(x) = √(x)+3 \n" ); document.write( "Bumps basic curve up 3 units (add 3 units to y-coordinates) \n" ); document.write( "Domain:[0,∞) \n" ); document.write( "Range: [3,∞) \n" ); document.write( " |