document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194487>Question 194487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Explain how to get the graph of the function f(x)=e^(x-2)+3 from the graph of the function g(x)=e^x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #145926 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=145926\">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=g%28x%29=e%5Ex ALIGN=MIDDLE  ALT=\"g%28x%29=e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now shift the graph over 2 units to the right to graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=e%5E%28x-2%29 ALIGN=MIDDLE  ALT=\"y=e%5E%28x-2%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=+drawing%28500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2Cexp%28x%29%2Cexp%28x-2%29%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=e%5Ex ALIGN=MIDDLE  ALT=\"g%28x%29=e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > (red) and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=e%5E%28x-2%29 ALIGN=MIDDLE  ALT=\"y=e%5E%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (green)\r<BR>\n" );
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document.write( "Finally, shift the previous graph up 3 units to get the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=e%5E%28x-2%29%2B3 ALIGN=MIDDLE  ALT=\"f%28x%29=e%5E%28x-2%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%28500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2Cexp%28x%29%2Cexp%28x-2%29%2Cexp%28x-2%29%2B3%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29=e%5Ex ALIGN=MIDDLE  ALT=\"g%28x%29=e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > (red), <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=e%5E%28x-2%29 ALIGN=MIDDLE  ALT=\"y=e%5E%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (green), and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=e%5E%28x-2%29%2B3 ALIGN=MIDDLE  ALT=\"f%28x%29=e%5E%28x-2%29%2B3\"   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=f%28x%29=e%5E%28x-2%29%2B3 ALIGN=MIDDLE  ALT=\"f%28x%29=e%5E%28x-2%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is \r<BR>\n" );
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