document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=553590>Question 553590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello what is the vertex of this quadratic and can you show me the steps of how you got this:\r<BR>\n" );
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document.write( "f(x)= -3/10x^2+9/2x-7/6\r<BR>\n" );
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document.write( "thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #360953 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=360953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The x-coordinate of the vertex is at <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the equation <BR>\n" );
document.write( "has the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+ax%5E2+%2B+b%2Ax+%2B+c+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+ax%5E2+%2B+b%2Ax+%2B+c+\"   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=+f%28x%29+=+%28-3%2F10%29%2Ax%5E2+%2B+%289%2F2%29%2Ax+-+7%2F6+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+%28-3%2F10%29%2Ax%5E2+%2B+%289%2F2%29%2Ax+-+7%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-3%2F10+ ALIGN=MIDDLE  ALT=\"+a+=+-3%2F10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+9%2F2+ ALIGN=MIDDLE  ALT=\"+b+=+9%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+=+-%289%2F2%29%2F%282%2A%28-3%2F10%29%29+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+-%289%2F2%29%2F%282%2A%28-3%2F10%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+=+%28-10%2F6%29%2A%28-9%2F2%29+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+%28-10%2F6%29%2A%28-9%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+=+90%2F12+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+90%2F12+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+=+15%2F2+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+15%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "So far, the vertex is at ( 15/2,y )<BR>\n" );
document.write( "Now find the y-coordinate<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28+15%2F2+%29+=+%28-3%2F10%29%2A%2815%2F2%29%5E2+%2B+%289%2F2%29%2A%2815%2F2%29+-+7%2F6+ ALIGN=MIDDLE  ALT=\"+f%28+15%2F2+%29+=+%28-3%2F10%29%2A%2815%2F2%29%5E2+%2B+%289%2F2%29%2A%2815%2F2%29+-+7%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28+15%2F2+%29+=+%28-3%2F10%29%2A%28225%2F4%29+%2B+135%2F4+-+7%2F6+ ALIGN=MIDDLE  ALT=\"+f%28+15%2F2+%29+=+%28-3%2F10%29%2A%28225%2F4%29+%2B+135%2F4+-+7%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28+15%2F2+%29+=+-675%2F40+%2B+540%2F40+-+7%2F6+ ALIGN=MIDDLE  ALT=\"+f%28+15%2F2+%29+=+-675%2F40+%2B+540%2F40+-+7%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%2815%2F2%29+=+-2025%2F120+%2B+1620%2F120+-+140%2F120+ ALIGN=MIDDLE  ALT=\"+f%2815%2F2%29+=+-2025%2F120+%2B+1620%2F120+-+140%2F120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%2815%2F2%29+=+-545%2F120+ ALIGN=MIDDLE  ALT=\"+f%2815%2F2%29+=+-545%2F120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%2815%2F2%29+=+-109%2F24+ ALIGN=MIDDLE  ALT=\"+f%2815%2F2%29+=+-109%2F24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The vertex is at (15/2, -109/24)<BR>\n" );
document.write( "Unless I made a mistake\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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