document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1061026>Question 1061026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.\r<BR>\n" );
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document.write( "f(x) = -x^2 - 2x + 2\r<BR>\n" );
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document.write( "    a. minimum; - 1<BR>\n" );
document.write( "    b. maximum; 3<BR>\n" );
document.write( "    c. minimum; 3<BR>\n" );
document.write( "    d. maximum; - 1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #675871 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=675871\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find that value.\r<BR>\n" );
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document.write( "f(x) = -x^2 - 2x + 2\r<BR>\n" );
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document.write( "    a. minimum; - 1<BR>\n" );
document.write( "    b. maximum; 3<BR>\n" );
document.write( "    c. minimum; 3<BR>\n" );
document.write( "    d. maximum; - 1<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">Leading coefficient is < 0, so function has a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C2%2C+MAXIMUM%2C+VALUE%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28matrix%281%2C2%2C+MAXIMUM%2C+VALUE%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That maximum value occurs at: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=matrix%281%2C10%2C+x+=+-+b%2F%282a%29%2C+or%2C+at%2C+x+=+-+-+2%2F%282%2A+-+1%29%2C+or%2C+at%2C+x+=+2%2F-+2%2C+or%2C+at%2C+x+=+-+1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore, maximum value is at f(- 1), and: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28f%28-+1%29+=+-+%28-+1%29%5E2+-+2%28-+1%29+%2B+2+=+-+1+%2B+2+%2B+2+=+highlight%283%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We then get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C2%2C+CHOICE%2C+%22b.%22%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28matrix%281%2C2%2C+CHOICE%2C+%22b.%22%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "That's all.......nothing too COMPLEX! </SPAN>\n" );
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