document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122658>Question 122658</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph y=|x|+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #90053 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=90053\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order to graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%28x%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > we need to plot some points. In order to find some points, we need to plug in some x values\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%28x%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28-2%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%28-2%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   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=y=2%2B3 ALIGN=MIDDLE  ALT=\"y=2%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the absolute value of -2 to get 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "So our first point is (-2,5)\r<BR>\n" );
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document.write( "Let's plot the 1st point (-2,5)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+700%2C+700%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2Ccircle%28-2%2C5%2C0.05%29%2C%0D%0A++circle%28-2%2C5%2C0.08%29%0D%0A++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's find the 2nd point\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%28x%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28-1%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%28-1%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   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=y=1%2B3 ALIGN=MIDDLE  ALT=\"y=1%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the absolute value of -1 to get 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4 ALIGN=MIDDLE  ALT=\"y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "So our 2nd point is (-1,4)\r<BR>\n" );
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document.write( "Plot the 2nd point (-1,4)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+700%2C+700%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2Ccircle%28-2%2C5%2C0.05%29%2C%0D%0A++circle%28-2%2C5%2C0.08%29%2Ccircle%28-1%2C4%2C0.05%29%2C%0D%0A++circle%28-1%2C4%2C0.08%29%0D%0A++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's find the 3rd point\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%28x%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%280%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%280%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   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=y=0%2B3 ALIGN=MIDDLE  ALT=\"y=0%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the absolute value of 0 to get 0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "So our 3rd point is (0,3)\r<BR>\n" );
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document.write( "Plot the 3rd point (0,3)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+700%2C+700%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2Ccircle%28-2%2C5%2C0.05%29%2C%0D%0A++circle%28-2%2C5%2C0.08%29%2Ccircle%28-1%2C4%2C0.05%29%2C%0D%0A++circle%28-1%2C4%2C0.08%29%2Ccircle%280%2C3%2C0.05%29%2C%0D%0A++circle%280%2C3%2C0.08%29%0D%0A++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's find the 4th point\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%28x%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%281%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%281%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   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=y=1%2B3 ALIGN=MIDDLE  ALT=\"y=1%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the absolute value of 1 to get 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4 ALIGN=MIDDLE  ALT=\"y=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "So our 4th point is (1,4)\r<BR>\n" );
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document.write( "Plot the 4th point (1,4)\r<BR>\n" );
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document.write( "Let's find the 5th point\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%28x%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%282%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%282%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   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=y=2%2B3 ALIGN=MIDDLE  ALT=\"y=2%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the absolute value of 2 to get 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add\r<BR>\n" );
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document.write( "So our 2nd point is (2,5)\r<BR>\n" );
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document.write( "Plot the 5th point (2,5)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+700%2C+700%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2Ccircle%28-2%2C5%2C0.05%29%2C%0D%0A++circle%28-2%2C5%2C0.08%29%2Ccircle%28-1%2C4%2C0.05%29%2C%0D%0A++circle%28-1%2C4%2C0.08%29%2Ccircle%280%2C3%2C0.05%29%2C%0D%0A++circle%280%2C3%2C0.08%29%2Ccircle%281%2C4%2C0.05%29%2C%0D%0A++circle%281%2C4%2C0.08%29%2Ccircle%282%2C5%2C0.05%29%2C%0D%0A++circle%282%2C5%2C0.08%29%0D%0A++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now draw a line through all of the points to graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%28x%29%2B3\"   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=drawing%28+700%2C+700%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2C%0D%0A++graph%28+700%2C+700%2C+-10%2C+10%2C+-10%2C+10%2Cabs%28x%29%2B3%29%2C%0D%0A++circle%28-2%2C5%2C0.05%29%2C%0D%0A++circle%28-2%2C5%2C0.08%29%2Ccircle%28-1%2C4%2C0.05%29%2C%0D%0A++circle%28-1%2C4%2C0.08%29%2Ccircle%280%2C3%2C0.05%29%2C%0D%0A++circle%280%2C3%2C0.08%29%2Ccircle%281%2C4%2C0.05%29%2C%0D%0A++circle%281%2C4%2C0.08%29%2Ccircle%282%2C5%2C0.05%29%2C%0D%0A++circle%282%2C5%2C0.08%29%0D%0A++%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=abs%28x%29%2B3 ALIGN=MIDDLE  ALT=\"y=abs%28x%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is\r<BR>\n" );
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