document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147034>Question 147034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, can you please help me solve this problem. \r<BR>\n" );
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document.write( "sketch the graph of: y= /x-2/ -2\r<BR>\n" );
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document.write( "the backslashes represent the absolute lines. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107386 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=107386\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Absolute value equations such as this one are shaped like the letter \"V\"<BR>\n" );
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document.write( "An easy way to graph this one is to assign some positive and negative values to x, then determine<BR>\n" );
document.write( "the corresponding value of y for each value of x, and finally plot the points and sketch in the<BR>\n" );
document.write( "graph.<BR>\n" );
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document.write( "Suppose we let x = 0. Then the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+abs%280+-+2%29+-+2+=+abs%28-2%29+-+2+=+2+-+2+=+0 ALIGN=MIDDLE  ALT=\"y+=+abs%280+-+2%29+-+2+=+abs%28-2%29+-+2+=+2+-+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So one point on the graph is (0, 0)<BR>\n" );
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document.write( "Suppose we let x = -4. Then the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+abs%28-4+-+2%29+-+2+=+abs%28-6%29+-+2+=+6+-+2+=+4 ALIGN=MIDDLE  ALT=\"y+=+abs%28-4+-+2%29+-+2+=+abs%28-6%29+-+2+=+6+-+2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So another point on the graph is (-4, 4)<BR>\n" );
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document.write( "Suppose we let x = -2. Then the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+abs%28-2+-+2%29+-+2+=+abs%28-4%29+-+2+=+4+-+2+=+2 ALIGN=MIDDLE  ALT=\"y+=+abs%28-2+-+2%29+-+2+=+abs%28-4%29+-+2+=+4+-+2+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So another point on the graph is (-2, 2)<BR>\n" );
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document.write( "Suppose we let x = +2. Then the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+abs%282+-+2%29+-+2+=+abs%280%29+-+2+=+0+-+2+=+-2 ALIGN=MIDDLE  ALT=\"y+=+abs%282+-+2%29+-+2+=+abs%280%29+-+2+=+0+-+2+=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So another point on the graph is (2, -2)<BR>\n" );
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document.write( "Suppose we let x = +4. Then the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+abs%284+-+2%29+-+2+=+abs%282%29+-+2+=+2+-+2+=+0 ALIGN=MIDDLE  ALT=\"y+=+abs%284+-+2%29+-+2+=+abs%282%29+-+2+=+2+-+2+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So another point on the graph is (+4, 0)<BR>\n" );
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document.write( "Finally, suppose we let x = +5. Then the equation becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+abs%285+-+2%29+-+2+=+abs%283%29+-+2+=+3+-+2+=+1 ALIGN=MIDDLE  ALT=\"y+=+abs%285+-+2%29+-+2+=+abs%283%29+-+2+=+3+-+2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So another point on the graph is (+5,+1)<BR>\n" );
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document.write( "And you can continue this process of assigning values to x and determining the corresponding<BR>\n" );
document.write( "values of y until you have enough coordinate pairs to determine what the graph looks like.<BR>\n" );
document.write( "When you get done plotting those points for this problem, your graph should look like:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-6%2C%2B6%2C-6%2C%2B6%2Cabs%28x-2%29-2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-6%2C%2B6%2C-6%2C%2B6%2Cabs%28x-2%29-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps you to see one way of doing this graphing problem.<BR>\n" );
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