Algebra.Com's Answer #800115 by ikleyn(52788)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "Explain the transformation rules for graphing the given function
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document.write( "y= -2 cuberoot(x-2) +1
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document.write( " Looking into the posts of other tutors (@Boreal, @MathLover1, @ewatrrr) may confuse you, \r
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document.write( " because their plots are incorrect and give you incorrect vision of the situation.\r
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document.write( " Therefore, I came to bring you the correct solution, plots, vision and explanations.\r
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document.write( "The function y=  is the \"child\" function of the \"parent\" function y=  .\r\n" );
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document.write( "The parent function is defined over the ENTIRE real domain (whole number line), see the plot in Figure 1.\r\n" );
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document.write( "  \r\n" );
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document.write( " Figure 1. y = \r\n" );
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document.write( "The plot has two wings, the green line (at x >=0) and the blue line (at x < 0). \r\n" );
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document.write( "They both have EQUAL RIGHTS of existence and are antisymmetric relatively the origin of the coordinate system.\r\n" );
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document.write( "The \"child\" function y= is ALSO defined over the ENTIRE number line.\r\n" );
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document.write( "Relative to the parent function plot, it is shifted two units right, stretched two times along the y-axis \r\n" );
document.write( "and reflected relative the x-axis; then shifter 1 unit up.\r\n" );
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document.write( "See the Figure 2.\r\n" );
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document.write( "  \r\n" );
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document.write( " Figure 2. y =  \r\n" );
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