document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948104>Question 948104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y = &#8722; x^2 &#8722; 8 x &#8722; 14<BR>\n" );
document.write( "Find the coordinates of the vertex<BR>\n" );
document.write( "these intercepts occur at?<BR>\n" );
document.write( "x=<BR>\n" );
document.write( "x=\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578626 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=578626\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The vertex form of a parabola's equation is generally expressed as: \r<BR>\n" );
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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;\" > where (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is the vertex \r<BR>\n" );
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document.write( "so, write your equation in vertex form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-x%5E2+-8x+-14 ALIGN=MIDDLE  ALT=\"y+=+-x%5E2+-8x+-14\"   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+=+-%28x%5E2+%2B8x%29+-14 ALIGN=MIDDLE  ALT=\"y+=+-%28x%5E2+%2B8x%29+-14\"   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=y+=+%28-1%29%28x%5E2+%2B8x%2B_%29-%28-1%29%2A_+-14 ALIGN=MIDDLE  ALT=\"y+=+%28-1%29%28x%5E2+%2B8x%2B_%29-%28-1%29%2A_+-14\"   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+=+-%28x%5E2+%2B8x%2B4%5E2%29%2B1%2A4%5E2+-14 ALIGN=MIDDLE  ALT=\"y+=+-%28x%5E2+%2B8x%2B4%5E2%29%2B1%2A4%5E2+-14\"   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+=+-%28x%2B4%29%5E2+%2B16+-14 ALIGN=MIDDLE  ALT=\"y+=+-%28x%2B4%29%5E2+%2B16+-14\"   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+=+-%28x%2B4%29%5E2%2B2 ALIGN=MIDDLE  ALT=\"y+=+-%28x%2B4%29%5E2%2B2\"   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=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >) is the vertex \r<BR>\n" );
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document.write( "intercepts:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=+-x%5E2+-8x+-14 ALIGN=MIDDLE  ALT=\"0=+-x%5E2+-8x+-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >...multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%7D%7D%0D%0A%0D%0A%7B%7B%7Bx%5E2%2B8x+%2B14=0 ALIGN=MIDDLE  ALT=\"-1%7D%7D%0D%0A%0D%0A%7B%7B%7Bx%5E2%2B8x+%2B14=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...use quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%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=x+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A1%2A14+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+sqrt%28+8%5E2-4%2A1%2A14+%29%29%2F%282%2A1%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=x+=+%28-8+%2B-+sqrt%28+64-56+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+sqrt%28+64-56+%29%29%2F2+\"   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=x+=+%28-8+%2B-+sqrt%28+8+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+sqrt%28+8+%29%29%2F2+\"   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=x+=+%28-8+%2B-+2.8%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+2.8%29%2F2+\"   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=x+=+%28-4+%2B-+1.4%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+1.4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-4+%2B+1.4+ ALIGN=MIDDLE  ALT=\"x+=+-4+%2B+1.4+\"   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=x+=-2.6+ ALIGN=MIDDLE  ALT=\"x+=-2.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-4-+1.4+ ALIGN=MIDDLE  ALT=\"x+=+-4-+1.4+\"   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=x+=-5.4+ ALIGN=MIDDLE  ALT=\"x+=-5.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, x-intercepts are at:<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2.6 ALIGN=MIDDLE  ALT=\"-2.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "and<BR>\n" );
document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5.4 ALIGN=MIDDLE  ALT=\"-5.4\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   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=drawing%28+600%2C+600%2C+-10%2C10%2C+-15%2C+10%2C%0D%0Acircle%28-4%2C2%2C.12%29%2Clocate%28-4%2C2%2CV%28-4%2C2%29%29%2C%0D%0Acircle%28-2.6%2C0%2C.12%29%2Clocate%28-2.6%2C-0.5%2Cp%28-2.6%2C0%29%29%2C%0D%0Acircle%28-5.4%2C0%2C.12%29%2Clocate%28-5.4%2C-0.5%2Cp%28-5.4%2C0%29%29%2C%0D%0A+graph%28+600%2C+600%2C+-10%2C10%2C+-15%2C+10%2C+-x%5E2+-8x+-14%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );