document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=134222>Question 134222</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could anyone please offer their help on this one? I studied the text and can't figure this out. Thank You.\r<BR>\n" );
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document.write( "Compare the graph of the given quadratic function f with the graph of y=x^2.\r<BR>\n" );
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document.write( "f(x)=(x-2)^2+3\r<BR>\n" );
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document.write( "Thanks again! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #98152 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=98152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's graph the first equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2 ALIGN=MIDDLE  ALT=\"y=x%5E2\"   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%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's add the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-2%29%5E2%2B3 ALIGN=MIDDLE  ALT=\"y=%28x-2%29%5E2%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=graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2C%28x-2%29%5E2%2B3%29+ ALIGN=MIDDLE  ALT=\"graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2%2C%28x-2%29%5E2%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2 ALIGN=MIDDLE  ALT=\"y=x%5E2\"   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%5E2%2B3 ALIGN=MIDDLE  ALT=\"y=%28x-2%29%5E2%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > (green)\r<BR>\n" );
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document.write( "Notice how the green graph, which is the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x-2%29%5E2%2B3 ALIGN=MIDDLE  ALT=\"y=%28x-2%29%5E2%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is simply the same as the original graph, but has been shifted 2 units to the right and 3 units up. \r<BR>\n" );
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document.write( "Note: The 2 unit shift to the right corresponds to the 2 in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-highlight%282%29%29%5E2%2B3 ALIGN=MIDDLE  ALT=\"%28x-highlight%282%29%29%5E2%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the 3 unit shift up corresponds to the 3 in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%5E2%2Bhighlight%283%29 ALIGN=MIDDLE  ALT=\"%28x-2%29%5E2%2Bhighlight%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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