document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970773>Question 970773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a quadratic function in starndard form whose graph passes through the given points. (USE Stat)\r<BR>\n" );
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document.write( "(-4, -7), (-3,3), (3, -21)\r<BR>\n" );
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document.write( "Find the maximum heights.\r<BR>\n" );
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document.write( "What is the approximate difference in the maximum height for the parabolas? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #593423 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=593423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> With these three points and quadratic regression,\r<BR>\n" );
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document.write( "a=-2<BR>\n" );
document.write( "b=-4<BR>\n" );
document.write( "c=9\r<BR>\n" );
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document.write( "-2x^2-4x+9 = y(x)<BR>\n" );
document.write( "(-1,10.8) is approximate\r<BR>\n" );
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document.write( "vertex is at x=-1,11  by the formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C20%2C-2x%5E2-4x%2B9%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C20%2C-2x%5E2-4x%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Calculator:<BR>\n" );
document.write( "Go to STAT and choose 1 Edit.  Put the x values in L1, hitting enter after each one, then put the y values in L2, doing the same.  Then second MODE, to get out.\r<BR>\n" );
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document.write( "Got to STAT  CALC  and hit 5, for quadratic regression.  Then do 2nd 1 COMMA 2nd 2, COMMA then VARS Y-VARS and hit 1.  That will give you the a, b, and c.\r<BR>\n" );
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document.write( "To graph, go to 2nd Y= for STAT PLOT and for Plot 1 hit enter<BR>\n" );
document.write( "Scroll down to scatter plot and hit enter<BR>\n" );
document.write( "Then scroll down to x-list and hit L1<BR>\n" );
document.write( "For y-list hit L2<BR>\n" );
document.write( "For Mark hit enter<BR>\n" );
document.write( "Then graph, using the appropriate window. </SPAN>\n" );
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