document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=882998>Question 882998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> describe the transformation of g(x)=|x-2|+2\r<BR>\n" );
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document.write( "Is it possible that the answer is \"impossible geometric transformation\"? The absolute value confuses me.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #533234 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=533234\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x-2 can be 0 or positive or negative.  A change occurs at x=2.\r<BR>\n" );
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document.write( "The case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2%3C0 ALIGN=MIDDLE  ALT=\"x-2%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=-%28x-2%29%2B2=-x%2B2%2B2=-x%2B4 ALIGN=MIDDLE  ALT=\"g%28x%29=-%28x-2%29%2B2=-x%2B2%2B2=-x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >;<BR>\n" );
document.write( "Think carefully about the meaning of absolute value and maybe draw and label a numberline to see that.\r<BR>\n" );
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document.write( "The case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2=0 ALIGN=MIDDLE  ALT=\"x-2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > means x=2 and then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=2 ALIGN=MIDDLE  ALT=\"g%28x%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2%3E0 ALIGN=MIDDLE  ALT=\"x-2%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=x-2%2B2=x%2B0=x ALIGN=MIDDLE  ALT=\"g%28x%29=x-2%2B2=x%2B0=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "To understand this as a transformation, you would have started with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28f%28x%29=abs%28x%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28f%28x%29=abs%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; and then the x-2 means shifting two units to the right, and then the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=g%28x%29=abs%28x-2%29%2B2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=g%28x%29=abs%28x-2%29%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > means shifting two units upward.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cabs%28x-2%29%2B2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cabs%28x-2%29%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Instead of this \"simpler\" function:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cabs%28x%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cabs%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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