document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892531>Question 892531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph g(x)= |12x-6|+4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540573 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=540573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a picture of your graph is shown below.\r<BR>\n" );
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document.write( "the graph will minimize when x = .5\r<BR>\n" );
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document.write( "it will be symmetric about the line x = .5\r<BR>\n" );
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document.write( "the minimum value of y will be y = 4\r<BR>\n" );
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document.write( "this occurs when the value of the expression within the absolute value signs is equal to 0.\r<BR>\n" );
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document.write( "that occurs when x = .5\r<BR>\n" );
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document.write( "since the absolute value of the expression within the absolute value sign can never be less than 0, the graph will bottom out when x = .5 because the expression within the absolute value signs is equal to 0 when x = .5.a\r<BR>\n" );
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document.write( "that bottoming out point is where the line of symmetry lies.<BR>\n" );
document.write( "all values of y to the left of that line will be equal to all values of y to the right of that line as long as the distance between the x values to the line of symmetry is the same.\r<BR>\n" );
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document.write( "for example, when x = 0, the value of the expression within the absolute value signs is equal to -6, but the absolute value of -6 is equal to 6, so y = 6 + 4 = 10 when x = 0.\r<BR>\n" );
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document.write( "note that x = 0 is the same distance away from x = .5 as x = 1 is.  they are both .5 units away from x = .5.\r<BR>\n" );
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document.write( "since x = .5 is the line of symmetry, the value on both sides of that line that are equidistant from that line will be equal.\r<BR>\n" );
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document.write( "one of these occurrences is when x = 0 and when x = 1 since they're both equidistance from the line of symmetry.\r<BR>\n" );
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document.write( "when x = 1, the value within the absolute value signs is 12 - 6 = 6.<BR>\n" );
document.write( "the absolute value of that is 6.<BR>\n" );
document.write( "6 + 4 = 10\r<BR>\n" );
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document.write( "the value of y is 10 when x = 0 and when x = 1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/081301.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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