document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87017>Question 87017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sketch the graph of the following functions<BR>\n" );
document.write( "g(x) = (x - 2)^3 + 2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62981 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=62981\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E3 ALIGN=MIDDLE  ALT=\"y=x%5E3\"   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=+graph%28+500%2C500%2C-10%2C10%2C-10%2C10%2C+x%5E3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C500%2C-10%2C10%2C-10%2C10%2C+x%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since we have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E3 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > this means we shift the graph 2 units to the right.<BR>\n" );
document.write( "So shift the graph 2 units to the right like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C500%2C-10%2C10%2C-10%2C10%2C+x%5E3%2C+%28x-2%29%5E3%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C500%2C-10%2C10%2C-10%2C10%2C+x%5E3%2C+%28x-2%29%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E3 ALIGN=MIDDLE  ALT=\"y=x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (red) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-2%29%5E3 ALIGN=MIDDLE  ALT=\"y=%28x-2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (green)\r<BR>\n" );
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document.write( "Now since we're adding 2 to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-2%29%5E3 ALIGN=MIDDLE  ALT=\"y=%28x-2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-2%29%5E3%2B2 ALIGN=MIDDLE  ALT=\"y=%28x-2%29%5E3%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > this means we shift the graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-2%29%5E3 ALIGN=MIDDLE  ALT=\"y=%28x-2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > up two units like this\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C500%2C-10%2C10%2C-10%2C10%2C+x%5E3%2C+%28x-2%29%5E3%2C+%28x-2%29%5E3%2B2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C500%2C-10%2C10%2C-10%2C10%2C+x%5E3%2C+%28x-2%29%5E3%2C+%28x-2%29%5E3%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E3 ALIGN=MIDDLE  ALT=\"y=x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (red) , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-2%29%5E3 ALIGN=MIDDLE  ALT=\"y=%28x-2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (green), and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-2%29%5E3%2B2 ALIGN=MIDDLE  ALT=\"y=%28x-2%29%5E3%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (blue)\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=%28x-2%29%5E3%2B2 ALIGN=MIDDLE  ALT=\"y=%28x-2%29%5E3%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C500%2C-10%2C10%2C-10%2C10%2C%28x-2%29%5E3%2B2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C500%2C-10%2C10%2C-10%2C10%2C%28x-2%29%5E3%2B2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-2%29%5E3%2B2 ALIGN=MIDDLE  ALT=\"y=%28x-2%29%5E3%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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