document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=939999>Question 939999</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the rule of a quadratic function if it has a minimum value of y=4, an axis of symmetry at x=3 and passes through point (4,-3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #572833 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=572833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> EDITING:\r<BR>\n" );
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document.write( "How I knew that?  Standard Form for a parabola equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >, standard form.<BR>\n" );
document.write( "Vertex is the point (h,k).\r<BR>\n" );
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document.write( "BETTER------------------------------------\r<BR>\n" );
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document.write( "Standard Form, y=a(x-h)^2+k for extreme point (h,k).<BR>\n" );
document.write( "You have symmetry axis on x=3 and mainimum value y at y=4.<BR>\n" );
document.write( "You know now your (h,k) minimum vertex is (3,4).\r<BR>\n" );
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document.write( "Find the factor, a.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-k=a%28x-h%29%5E2 ALIGN=MIDDLE  ALT=\"y-k=a%28x-h%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=%28y-k%29%2F%28x-h%29%5E2=a ALIGN=MIDDLE  ALT=\"%28y-k%29%2F%28x-h%29%5E2=a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Substituting for h, k, and the known given point (4,-3)<BR>\n" );
document.write( "Get the value for a:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=%28-3-4%29%2F%284-3%29%5E2 ALIGN=MIDDLE  ALT=\"a=%28-3-4%29%2F%284-3%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=-7%2F1%5E2 ALIGN=MIDDLE  ALT=\"a=-7%2F1%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=-7 ALIGN=MIDDLE  ALT=\"a=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Equation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-7%28x-3%29%5E2%2B4%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-7%28x-3%29%5E2%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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