document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1008305>Question 1008305</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the function y=absolute value of x + 2 by translating y=absolute value of x.<BR>\n" );
document.write( "Hello, this is a problem on my homework but we haven't gone over it. I think my teacher put it on there because our school district moved the test up by a week and my teacher is speed teaching. Anyways if this is on the test i need to understand it so please help, thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #624075 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=624075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Reference function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x%29 ALIGN=MIDDLE  ALT=\"y=abs%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, having critical value at x=0, because that is where the sign changes.  V shaped, sharp point as a minimum.\r<BR>\n" );
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document.write( "Think of that sharp minimum point as a point of reference within the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29 ALIGN=MIDDLE  ALT=\"abs%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  What happens upon translation using  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%2B2%29 ALIGN=MIDDLE  ALT=\"abs%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?  Where must be x in order for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%2B2%29 ALIGN=MIDDLE  ALT=\"abs%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  to be same value as  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%280%29 ALIGN=MIDDLE  ALT=\"abs%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >? \r<BR>\n" );
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document.write( "With the \"translated\", meaning moved, newer function, x must be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > so that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28-2%2B2%29=abs%280%29 ALIGN=MIDDLE  ALT=\"abs%28-2%2B2%29=abs%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%2B2%29 ALIGN=MIDDLE  ALT=\"abs%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is MOVING <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29 ALIGN=MIDDLE  ALT=\"abs%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the LEFT by two units.\r<BR>\n" );
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document.write( "Reference graph, absolute value function<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-4%2C4%2C-4%2C4%2Cabs%28x%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-4%2C4%2C-4%2C4%2Cabs%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Moved absolute value function two units to the left, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x%2B2%29 ALIGN=MIDDLE  ALT=\"y=abs%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-4%2C4%2C-4%2C4%2Cabs%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-4%2C4%2C-4%2C4%2Cabs%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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