document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947491>Question 947491</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the minimum y-value located on the graph of y=3x^2+2x-5. This is what I have <BR>\n" );
document.write( "3x^2+2x-5<BR>\n" );
document.write( "3(X^2+2x)-5<BR>\n" );
document.write( "3(x^2+1x+5-5)-5<BR>\n" );
document.write( "3(x^2+1+5)-1-5<BR>\n" );
document.write( "3(x+1)^2<BR>\n" );
document.write( "The vortex is (-1,-6) am I correct? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578140 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=578140\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B2x-5 ALIGN=MIDDLE  ALT=\"3x%5E2%2B2x-5\"   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=3%28x%5E2%2B%282%2F3%29x%29-5 ALIGN=MIDDLE  ALT=\"3%28x%5E2%2B%282%2F3%29x%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >....complete square\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x%5E2%2B%282%2F3%29x%2B1%2F9%29-3%2A1%2F9-5 ALIGN=MIDDLE  ALT=\"3%28x%5E2%2B%282%2F3%29x%2B1%2F9%29-3%2A1%2F9-5\"   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=3%28x%2B1%2F3%29%5E2-1%2F3-15%2F3 ALIGN=MIDDLE  ALT=\"3%28x%2B1%2F3%29%5E2-1%2F3-15%2F3\"   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=3%28x%2B1%2F3%29%5E2-16%2F3 ALIGN=MIDDLE  ALT=\"3%28x%2B1%2F3%29%5E2-16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-1%2F3 ALIGN=MIDDLE  ALT=\"h=-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-16%2F3 ALIGN=MIDDLE  ALT=\"k=-16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the vertex is at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16%2F3 ALIGN=MIDDLE  ALT=\"-16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "the minimum y-value located on the graph is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-16%2F3 ALIGN=MIDDLE  ALT=\"y=-16%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+circle%28-1%2F3%2C-16%2F3%2C.13%29%2Clocate%28-1%2F3%2C-16%2F3%2CV%28-1%2F3%2C-16%2F3%29%29%2C+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+3%28x%2B1%2F3%29%5E2-16%2F3%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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