document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1046302>Question 1046302</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) = -x2 - 2x + 2\r<BR>\n" );
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document.write( "    a. {-1, -2}<BR>\n" );
document.write( "    b. {1, 2}<BR>\n" );
document.write( "    c. {-1, 2}<BR>\n" );
document.write( "    d. {-2, 1} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #661776 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=661776\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = -x2 - 2x + 2<BR>\n" );
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document.write( "the general form of a quadratic is<BR>\n" );
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document.write( "f(x) = ax^2 +bx +c<BR>\n" );
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document.write( "this function is a parabola that curves downward since the coefficient of the x^2 term is negative<BR>\n" );
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document.write( "the vertex of the parabola is the maximum point on the curve<BR>\n" );
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document.write( "x = -b/2a = -(-2) / 2(-1) = -1<BR>\n" );
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document.write( "substitute -1 for x in our function<BR>\n" );
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document.write( "y = -(-1)^2 -2(-1) +2 = 3<BR>\n" );
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document.write( "vertex is at (-1,3)<BR>\n" );
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document.write( "f(x) has a maximum at the point (-1,3)<BR>\n" );
document.write( "note that the correct answer is not in the choices you supplied<BR>\n" );
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document.write( " </SPAN>\n" );
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