document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170151>Question 1170151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the parabola given by the equation: f(x)=-2x^2-10x-12\r<BR>\n" );
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document.write( "Find the following for this parabola: \r<BR>\n" );
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document.write( "A) The vertex: <BR>\n" );
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document.write( "B) The vertical intercept is the point: <BR>\n" );
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document.write( "C) Find the coordinates of the two x intercepts of the parabola and write them as a list, separated by commas:<BR>\n" );
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document.write( "It is OK to round your value(s) to to two decimal places.\r<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 #795005 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=795005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-2x%5E2-10x-12 ALIGN=MIDDLE  ALT=\"f%28x%29=-2x%5E2-10x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find the following for this parabola:\r<BR>\n" );
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document.write( "A) The vertex:\r<BR>\n" );
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document.write( "write it in vertex form by completing square\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-2%28x%5E2%2B5x%29-12 ALIGN=MIDDLE  ALT=\"f%28x%29=-2%28x%5E2%2B5x%29-12\"   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=f%28x%29=-2%28x%5E2%2B5x%2Bb%5E2%29+-%28-2b%5E2%29-12 ALIGN=MIDDLE  ALT=\"f%28x%29=-2%28x%5E2%2B5x%2Bb%5E2%29+-%28-2b%5E2%29-12\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=5%2F2 ALIGN=MIDDLE  ALT=\"b=5%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=f%28x%29=-2%28x%5E2%2B5x%2B%285%2F2%29%5E2%29+%2B2%285%2F2%29%5E2-12 ALIGN=MIDDLE  ALT=\"f%28x%29=-2%28x%5E2%2B5x%2B%285%2F2%29%5E2%29+%2B2%285%2F2%29%5E2-12\"   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=f%28x%29=-2%28x%2B5%2F2%29%5E2+%2B2%2825%2F4%29-12 ALIGN=MIDDLE  ALT=\"f%28x%29=-2%28x%2B5%2F2%29%5E2+%2B2%2825%2F4%29-12\"   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=f%28x%29=-2%28x%2B5%2F2%29%5E2+%2B1%2F2 ALIGN=MIDDLE  ALT=\"f%28x%29=-2%28x%2B5%2F2%29%5E2+%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > -> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-5%2F2 ALIGN=MIDDLE  ALT=\"h=-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=1%2F2 ALIGN=MIDDLE  ALT=\"k=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=> The vertex: at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F2 ALIGN=MIDDLE  ALT=\"-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "B) The vertical intercept is the point:\r<BR>\n" );
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document.write( "will be at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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=f%28x%29=-2x%5E2-10x-12 ALIGN=MIDDLE  ALT=\"f%28x%29=-2x%5E2-10x-12\"   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=f%28x%29=-2%2A0%5E2-10%2A0-12 ALIGN=MIDDLE  ALT=\"f%28x%29=-2%2A0%5E2-10%2A0-12\"   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=f%28x%29=-12+ ALIGN=MIDDLE  ALT=\"f%28x%29=-12+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "C) Find the coordinates of the two x intercepts of the parabola and write them as a list, separated by commas:\r<BR>\n" );
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document.write( "will be at (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   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=0=-2x%5E2-10x-12 ALIGN=MIDDLE  ALT=\"0=-2x%5E2-10x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" >...factor<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-2%28x%5E2%2B5x%2B6%29 ALIGN=MIDDLE  ALT=\"0=-2%28x%5E2%2B5x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-2%28x%5E2%2B3x%2B2x%2B6%29 ALIGN=MIDDLE  ALT=\"0=-2%28x%5E2%2B3x%2B2x%2B6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=-2%28%28x%5E2%2B3x%29%2B%282x%2B6%29%29 ALIGN=MIDDLE  ALT=\"0=-2%28%28x%5E2%2B3x%29%2B%282x%2B6%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=0=-2+%28x+%2B+3%29+%28x+%2B+2%29 ALIGN=MIDDLE  ALT=\"0=-2+%28x+%2B+3%29+%28x+%2B+2%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=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   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;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );