document.write( "Question 1151528: Graph f(x)=square-root of x, then use transformations of that graph to graph h(x)=square root of x-1)-2. Label 3 points on your graph. \n" ); document.write( "
Algebra.Com's Answer #773305 by Theo(13342)\"\" \"About 
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the graph of y = sqrt(x) and y = sqrt(x-1) - 2 is shown below.\r
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\n" ); document.write( "\n" ); document.write( "the points that apply to y = sqrt(x) are (0,0), (4,2), (12,3.464).\r
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\n" ); document.write( "\n" ); document.write( "the corresponding points that apply to y = sqrt(x-1) - 2 are (1,-2), (5,0), (13,1.464).\r
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\n" ); document.write( "\n" ); document.write( "the graph of y = sqrt(x-1) is the same as the graph of y = sqrt(x) except that it is shifted to the right one unit.\r
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\n" ); document.write( "\n" ); document.write( "the graph of y = sqrt(x-1) - 2 is the same as he graph of y = sqrt(x-1) - 2 except that it is shifted to the right one unit and down 2 units.\r
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\n" ); document.write( "\n" ); document.write( "you can see that in the corresponding points.\r
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\n" ); document.write( "\n" ); document.write( "(-0,0) from y = sqrt(x) becomes (1,-2) from y = sqrt(x-1) - 2
\n" ); document.write( "(4,2) becomes (5,0)
\n" ); document.write( "(12,3.464) becomes (13,1.464)\r
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\n" ); document.write( "\n" ); document.write( "here's a reference on functons translations that contains information on concepts shown above plus more.\r
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\n" ); document.write( "\n" ); document.write( "there are 5 pages involved so be sure to click on all to get complete coverage of the topic as they show it.\r
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\n" ); document.write( "\n" ); document.write( "https://www.purplemath.com/modules/fcntrans.htm\r
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