document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=812727>Question 812727</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If been trying to find an equation for a vertex of (1,5) with x-intercepts of -5 and 7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #489280 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=489280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Parabola for simplicity, <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.\r<BR>\n" );
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document.write( "Vertex means, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-1%29%5E2%2B5 ALIGN=MIDDLE  ALT=\"y=a%28x-1%29%5E2%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If you make no assumptions about \"a\", try the given two intercepts in the equation:\r<BR>\n" );
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document.write( "0=a(-5-1)^2+5<BR>\n" );
document.write( "-6a+5=0<BR>\n" );
document.write( "-6a=-5<BR>\n" );
document.write( "a=5/6\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%287-1%29%5E2%2B5=0 ALIGN=MIDDLE  ALT=\"a%287-1%29%5E2%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6a%2B5=0 ALIGN=MIDDLE  ALT=\"6a%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6a=-5 ALIGN=MIDDLE  ALT=\"6a=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-5%2F6 ALIGN=MIDDLE  ALT=\"a=-5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------we will want THIS, because:\r<BR>\n" );
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document.write( "....Thinking carefully about how the graph should appear, vertex (1,5) must be a maximum because it is above the two x-intercepts, so <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;\" > and we must choose <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=-5%2F6 ALIGN=MIDDLE  ALT=\"a=-5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Our equation, parabola in standard form be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=-%285%2F6%29%28x-1%29%5E2%2B5%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-%285%2F6%29%28x-1%29%5E2%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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