document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=945378>Question 945378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use substitution to find where the two parabolas below intersect. Then confirm your solution by graphing both on the same set of axes.\r<BR>\n" );
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document.write( "y=x^2+5<BR>\n" );
document.write( "y=x^2+2x+1<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #576508 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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/cgi-bin/show-face.mpl?user=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=576508\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B5=x%5E2%2B2x%2B1 ALIGN=MIDDLE  ALT=\"x%5E2%2B5=x%5E2%2B2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract x^2 from each side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+5=2x%2B1 ALIGN=MIDDLE  ALT=\"+5=2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Subtract 1 from each side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=2x ALIGN=MIDDLE  ALT=\"4=2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide each side by two<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=x ALIGN=MIDDLE  ALT=\"2=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substitute in the two original equations and find y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2%2B5 ALIGN=MIDDLE  ALT=\"y=x%5E2%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%5E2%2B5 ALIGN=MIDDLE  ALT=\"y=2%5E2%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=9 ALIGN=MIDDLE  ALT=\"y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2%2B2x%2B1 ALIGN=MIDDLE  ALT=\"y=x%5E2%2B2x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=2%5E2%2B%282%2A2%29%2B1 ALIGN=MIDDLE  ALT=\"y=2%5E2%2B%282%2A2%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4%2B4%2B1 ALIGN=MIDDLE  ALT=\"y=4%2B4%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=9 ALIGN=MIDDLE  ALT=\"y=9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the two graphs intersect at the point (2,9)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+800%2C+800%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2B5%2C+x%5E2%2B2x%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+800%2C+800%2C+-15%2C+15%2C+-15%2C+15%2C+x%5E2%2B5%2C+x%5E2%2B2x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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