document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948148>Question 948148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The graph of a function F is a parabola that has the x-intercepts 9 and 21. The function has a minimum value of -54\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578688 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=578688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=a(x-r)(x-s) if r and s are the x-intercepts.  Your equation becomes y=a(x-9)(x-21).\r<BR>\n" );
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document.write( "Minimum y=-54 means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E0 ALIGN=MIDDLE  ALT=\"a%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The vertex minimum will occur for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%289%2B21%29%2F2=10 ALIGN=MIDDLE  ALT=\"x=%289%2B21%29%2F2=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Use the vertex  (10,-54) in the equation to solve for the value of a.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=y%2F%28%28x-9%29%28x-21%29%29 ALIGN=MIDDLE  ALT=\"a=y%2F%28%28x-9%29%28x-21%29%29\"   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=a=%28-54%29%2F%28%2810-9%29%2810-21%29%29 ALIGN=MIDDLE  ALT=\"a=%28-54%29%2F%28%2810-9%29%2810-21%29%29\"   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=a=%28-54%29%2F%28%281%29%28-11%29%29 ALIGN=MIDDLE  ALT=\"a=%28-54%29%2F%28%281%29%28-11%29%29\"   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=a=54%2F11 ALIGN=MIDDLE  ALT=\"a=54%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The function is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28F%28x%29=%2854%2F11%29%28x-9%29%28x-21%29%29 ALIGN=MIDDLE  ALT=\"highlight%28F%28x%29=%2854%2F11%29%28x-9%29%28x-21%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or equivalent in the form that you want. </SPAN>\n" );
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