document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970776>Question 970776</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write a quadratic function in standard form whose graph passes through the given points. Use STAT\r<BR>\n" );
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document.write( "(1,2), (3,4), (6, -8)\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 #593422 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=593422\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the calculator, <BR>\n" );
document.write( "a=-1<BR>\n" );
document.write( "b=5<BR>\n" );
document.write( "c=-2\r<BR>\n" );
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document.write( "-x^2+5x-2=Y(x)<BR>\n" );
document.write( "The maximum height is about at (2.5, 4,1)\r<BR>\n" );
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document.write( "The question asks for the approximate difference in the maximum heights for the parabola.  The first sentence implies singular; the second one plural.  I am just using quadratic regression.\r<BR>\n" );
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document.write( "Of note is the x=value is at -b/2a, which is 5/2 for x.  The y-value would be 3 given this x.  \r<BR>\n" );
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document.write( "If there were another part of this problem, please let me know.  There are many parabolas that go through one of these points, but this is the best fit for the three points mentioned.\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B5x-2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B5x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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