document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147581>Question 147581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> R(x) = x^3 - 7 / x^2 + 1; what happens to R(x) if we now have R(x+2)?<BR>\n" );
document.write( "a. shifts 2 units to the left<BR>\n" );
document.write( "b. shifts 2 units up<BR>\n" );
document.write( "c. shifts 2 units to the right<BR>\n" );
document.write( "d. remains stationary; there is no effect of adding 2 to x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107960 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=107960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simply graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%28x%29=%28x%5E3-7%29%2F%28x%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"R%28x%29=%28x%5E3-7%29%2F%28x%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%5E3-7%29%2F%28x%5E2%2B1%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%5E3-7%29%2F%28x%5E2%2B1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%28x%2B2%29=%28%28x%2B2%29%5E3-7%29%2F%28%28x%2B2%29%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"R%28x%2B2%29=%28%28x%2B2%29%5E3-7%29%2F%28%28x%2B2%29%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%28%28x%2B2%29%5E3-7%29%2F%28%28x%2B2%29%5E2%2B1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Together they look 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%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%5E3-7%29%2F%28x%5E2%2B1%29%2C%28%28x%2B2%29%5E3-7%29%2F%28%28x%2B2%29%5E2%2B1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%28x%29=%28x%5E3-7%29%2F%28x%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"R%28x%29=%28x%5E3-7%29%2F%28x%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (red) and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%28x%2B2%29=%28%28x%2B2%29%5E3-7%29%2F%28%28x%2B2%29%5E2%2B1%29 ALIGN=MIDDLE  ALT=\"R%28x%2B2%29=%28%28x%2B2%29%5E3-7%29%2F%28%28x%2B2%29%5E2%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >(green)\r<BR>\n" );
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document.write( "So we can see that the new graph is shifted 2 units to the left. </SPAN>\n" );
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