document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75527>Question 75527</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what quadratic function represents a porabola where the graph has vertex at (-4,2) and passes through (3,9) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54264 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=54264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using this general equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > where a is the compression/stretch factor and (h,k) is the vertex. So the equation comes to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-%28-4%29%29%5E2%2B2 ALIGN=MIDDLE  ALT=\"y=a%28x-%28-4%29%29%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%2B4%29%5E2%2B2 ALIGN=MIDDLE  ALT=\"y=a%28x%2B4%29%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%5E2%2B8x%2B16%29%2B2 ALIGN=MIDDLE  ALT=\"y=a%28x%5E2%2B8x%2B16%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > foil the squared parenthesis<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=ax%5E2%2B8ax%2B16a%2B2 ALIGN=MIDDLE  ALT=\"y=ax%5E2%2B8ax%2B16a%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > distribute the a<BR>\n" );
document.write( "Now plug in the point (3,9)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=a%283%29%5E2%2B8%283%29a%2B16a%2B2 ALIGN=MIDDLE  ALT=\"9=a%283%29%5E2%2B8%283%29a%2B16a%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=9a%2B24a%2B16a%2B2 ALIGN=MIDDLE  ALT=\"9=9a%2B24a%2B16a%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=49a%2B2 ALIGN=MIDDLE  ALT=\"9=49a%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7=49a ALIGN=MIDDLE  ALT=\"7=49a\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 2 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1%2F7 ALIGN=MIDDLE  ALT=\"a=1%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 49\r<BR>\n" );
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document.write( "So the equation is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F7%29%28x%2B4%29%5E2%2B2 ALIGN=MIDDLE  ALT=\"y=%281%2F7%29%28x%2B4%29%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:<BR>\n" );
document.write( "Plug in (3,9) to see if it works<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=%281%2F7%29%283%2B4%29%5E2%2B2 ALIGN=MIDDLE  ALT=\"9=%281%2F7%29%283%2B4%29%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=%281%2F7%29%287%29%5E2%2B2 ALIGN=MIDDLE  ALT=\"9=%281%2F7%29%287%29%5E2%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=%281%2F7%2949%2B2 ALIGN=MIDDLE  ALT=\"9=%281%2F7%2949%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=7%2B2 ALIGN=MIDDLE  ALT=\"9=7%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9=9 ALIGN=MIDDLE  ALT=\"9=9\"   DISABLED_style= \"max-width:90%; height:auto;\" > works </SPAN>\n" );
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