document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=979388>Question 979388</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The quadratic function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=ax%5E2%2Bbx%2Bc ALIGN=MIDDLE  ALT=\"f%28x%29=ax%5E2%2Bbx%2Bc\"   DISABLED_style= \"max-width:90%; height:auto;\" > has the following characteristics: (i) passes through the point (2,4); (ii) has a maximum value of 6 when x=4; and (iii) has a zero of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4%2B2sqrt%283%29 ALIGN=MIDDLE  ALT=\"x=4%2B2sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Find the values of a,b, and c. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600651 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=600651\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The maximum is a vertex,  (4,6) and you can say  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-4%29%5E2%2B6 ALIGN=MIDDLE  ALT=\"y=a%28x-4%29%5E2%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The given zero should be enough for finding value of a.  Expect to use or find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3C0 ALIGN=MIDDLE  ALT=\"a%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-6=a%28x-4%29%5E2 ALIGN=MIDDLE  ALT=\"y-6=a%28x-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%28y-6%29%2F%28x-4%29%5E2 ALIGN=MIDDLE  ALT=\"a=%28y-6%29%2F%28x-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%280-6%29%2F%284%2B2sqrt%283%29-4%29%5E2 ALIGN=MIDDLE  ALT=\"a=%280-6%29%2F%284%2B2sqrt%283%29-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-6%2F%282sqrt%283%29%29%5E2 ALIGN=MIDDLE  ALT=\"a=-6%2F%282sqrt%283%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-6%2F12 ALIGN=MIDDLE  ALT=\"a=-6%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-1%2F2 ALIGN=MIDDLE  ALT=\"a=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Standard Form function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28x%29=-%281%2F2%29%28x-4%29%5E2%2B6%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28x%29=-%281%2F2%29%28x-4%29%5E2%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Simply do the simplification (multiplication...) to put into the general form to identify b and c.<BR>\n" );
document.write( "You already know a. </SPAN>\n" );
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