document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=869314>Question 869314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help with the following question??? Thank you!!!\r<BR>\n" );
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document.write( "Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.\<BR>\n" );
document.write( "F(x) = -x^2 -2x-6<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 #524127 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=524127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Which, min or max?\r<BR>\n" );
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document.write( "You first learn about <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2 ALIGN=MIDDLE  ALT=\"y=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which has a minimum.  If change sign to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%5E2 ALIGN=MIDDLE  ALT=\"y=-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then this has a maximum.  Now you know.\r<BR>\n" );
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document.write( "Vertex?  F(x) is not factorable, so find vertex in either of two ways.  General solution, or complete the square.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%28x%5E2%2B2x%2B6%29 ALIGN=MIDDLE  ALT=\"-1%28x%5E2%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=-1%28x%5E2%2B2x%2B1-1%2B6%29 ALIGN=MIDDLE  ALT=\"-1%28x%5E2%2B2x%2B1-1%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=-1%28%28x%2B1%29%5E2%2B5%29 ALIGN=MIDDLE  ALT=\"-1%28%28x%2B1%29%5E2%2B5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-%28x%2B1%29%5E2-5%29 ALIGN=MIDDLE  ALT=\"highlight%28-%28x%2B1%29%5E2-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The maximum is the vertex which you read directly from this standard form expression.  Point (-1,-5). </SPAN>\n" );
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