document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=744661>Question 744661</A>: <I><SPAN STYLE=\"word-break: break-all;\"> convert the standard parabolic equation  y = 3x ^2 - 30x - 7 to vertex form.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453472 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=453472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "The vertex form of a parabola's equation is generally expressed as :<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;\" >\r<BR>\n" );
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document.write( "given:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3x+%5E2+-+30x+-+7 ALIGN=MIDDLE  ALT=\"y+=+3x+%5E2+-+30x+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >...factor out <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > from first two terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3%28x+%5E2+-+10x%29+-+7 ALIGN=MIDDLE  ALT=\"y+=+3%28x+%5E2+-+10x%29+-+7\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......complete square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%5E2+-+10x%2B____%29 ALIGN=MIDDLE  ALT=\"%28x+%5E2+-+10x%2B____%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, add 25 to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%5E2+-+10x%2B____%29 ALIGN=MIDDLE  ALT=\"%28x+%5E2+-+10x%2B____%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A25 ALIGN=MIDDLE  ALT=\"3%2A25\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x+%5E2+-+10x%2B____%29 ALIGN=MIDDLE  ALT=\"3%28x+%5E2+-+10x%2B____%29\"   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=y+=+3%28x+%5E2+-+10x%2B25%29-3%2A25+-+7 ALIGN=MIDDLE  ALT=\"y+=+3%28x+%5E2+-+10x%2B25%29-3%2A25+-+7\"   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=y=3%28x%5E2-10x%2B25%29-82 ALIGN=MIDDLE  ALT=\"y=3%28x%5E2-10x%2B25%29-82\"   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=y=3%28x-5%29%5E2-82 ALIGN=MIDDLE  ALT=\"y=3%28x-5%29%5E2-82\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......vertex form </SPAN>\n" );
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