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" );
document.write( "\n" );
document.write( "f(x) = -x^2 - 2x + 2\r<BR>\n" );
document.write( "\n" );
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 #675868 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=675868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Coefficient on the degree-two term is negative one,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the graph for the parabola is concave downward and has vertex as a MAXIMUM.  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You could convert f into standard form and read the point for the vertex.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2-2x%2B2 ALIGN=MIDDLE  ALT=\"-x%5E2-2x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28x%5E2%2B2x-2%29 ALIGN=MIDDLE  ALT=\"-%28x%5E2%2B2x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28x%5E2%2B2x%2B1-1-2%29 ALIGN=MIDDLE  ALT=\"-%28x%5E2%2B2x%2B1-1-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------this step is Completing The Square.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28%28x%2B1%29%5E2-3%29 ALIGN=MIDDLE  ALT=\"-%28%28x%2B1%29%5E2-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28x%2B1%29%5E2%2B3 ALIGN=MIDDLE  ALT=\"-%28x%2B1%29%5E2%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Vertex is (-1,3). </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );