document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=916939>Question 916939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with this:<BR>\n" );
document.write( "Given the leading coefficient, a, the x coordinate of the vertex, Vx, and the y coordinate of the vertex, Vy, of quadratic function f, find the roots in terms of a, Vx, and Vy.\r<BR>\n" );
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document.write( "Thank You for taking the time to look at this! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #556412 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=556412\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is mostly just symbolic substitution and then simple algebraic steps.\r<BR>\n" );
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document.write( "Put the function into standard form using your given information.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28f%28x%29=a%28x-Vx%29%5E2%2BVy%29 ALIGN=MIDDLE  ALT=\"highlight_green%28f%28x%29=a%28x-Vx%29%5E2%2BVy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and as you, I am continuing to assume the lower case character in the mixed notation is like a subscript.\r<BR>\n" );
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document.write( "Wanting the roots, just equate f(x) to 0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x-Vx%29%5E2%2BVy=0 ALIGN=MIDDLE  ALT=\"a%28x-Vx%29%5E2%2BVy=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for \"x\".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x-Vx%29%5E2=-Vy ALIGN=MIDDLE  ALT=\"a%28x-Vx%29%5E2=-Vy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-Vx%29%5E2=-%281%2Fa%29Vy ALIGN=MIDDLE  ALT=\"%28x-Vx%29%5E2=-%281%2Fa%29Vy\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=Vx%2B-+sqrt%28-Vy%2Fa%29 ALIGN=MIDDLE  ALT=\"x=Vx%2B-+sqrt%28-Vy%2Fa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=Vx%2B-+%281%2Fa%29sqrt%28-Vy%2Aa%29 ALIGN=MIDDLE  ALT=\"x=Vx%2B-+%281%2Fa%29sqrt%28-Vy%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You really want to make sure your subscripts \"look like\" subscripts and not simply extra attached variables; so you really should show...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=V%5Bx%5D%2B-+%281%2Fa%29sqrt%28-V%5By%5D%2Aa%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x=V%5Bx%5D%2B-+%281%2Fa%29sqrt%28-V%5By%5D%2Aa%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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