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 #593417 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=593417\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you are using a calculator such as a TI83,TI84,etc, then\r<BR>\n" );
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document.write( "Step 1) Hit the STAT key and go to \"edit\". You'll see lists L1,L2,L3...\r<BR>\n" );
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document.write( "Step 2) Type the x coordinates of each point into list L1. So you are typing in 1,3,6 into list L1. The first column.\r<BR>\n" );
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document.write( "Step 3) Type the y coordinates of each point into list L2. So you are typing in 2,4,-8 into list L2. The second column.\r<BR>\n" );
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document.write( "Step 4) Hit the STAT key and scroll to the right once to get to the \"Calc\" menu. Then scroll down to \"QuadReg\". That stands for \"Quadratic Regression\". Hit enter twice to have the calculator compute the three coefficients a,b,c\r<BR>\n" );
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document.write( "Step 5) The calculator will report: a = -1, b = 5, c = -2\r<BR>\n" );
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document.write( "Any quadratic is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+c ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the quadratic that goes through the three points (1,2), (3,4), (6, -8) is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28-x%5E2+%2B+5x+-+2%29 ALIGN=MIDDLE  ALT=\"red%28-x%5E2+%2B+5x+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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