document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=352607>Question 352607</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, the line of symmetry, the maxiumum or minimum value of the quadratic function, and graph the function.<BR>\n" );
document.write( "f(x)=-2x^2+2x+3<BR>\n" );
document.write( "The x-coordinate of the vertex is:<BR>\n" );
document.write( "The y-coordinate of the vertex is:<BR>\n" );
document.write( "The equation of the line of symmetry is x=<BR>\n" );
document.write( "The maximum/minimum of f(x) is:<BR>\n" );
document.write( "The value, f(1/2)=7/2 is minimum or maximum?\r<BR>\n" );
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document.write( "So far, I have tried to work the problem. This is what I have:<BR>\n" );
document.write( "f(x)=-2x^2+2x+3, so you use (-b/2a,4ac-b^2/4a)<BR>\n" );
document.write( "Therefore, if -b/2a=-(2)/2(-1)=1<BR>\n" );
document.write( "Then put 1 back into the equation.<BR>\n" );
document.write( "f(1)=-2(1)^2+2(1)+3<BR>\n" );
document.write( "Using FOIL, I come up with 1.<BR>\n" );
document.write( "This where I get confused. Is the x-coordinate 1? How do i come up with y-coordinate? <BR>\n" );
document.write( "Is the line of symmetry also 1?<BR>\n" );
document.write( "I think I confuse myself the most when I try to apply the FOIL method?\r<BR>\n" );
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document.write( "Any help is so very much appreciated! Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #252005 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=252005\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, the line of symmetry, the maxiumum or minimum value of the quadratic function, and graph the function.<BR>\n" );
document.write( "f(x)=-2x^2+2x+3<BR>\n" );
document.write( "----<BR>\n" );
document.write( "vertex occurs at x = -b/(2a) = -2/(2*-2) = 1/4<BR>\n" );
document.write( "This is a maximum<BR>\n" );
document.write( "The x-coordinate of the vertex is:1/4<BR>\n" );
document.write( "The y-coordinate of the vertex is:f(1/4) = 3.375<BR>\n" );
document.write( "The equation of the line of symmetry is x= 1/4<BR>\n" );
document.write( "The maximum/minimum of f(x) is: max = 3.375<BR>\n" );
document.write( "The value, f(1/4)=3.375 is maximum because the coefficient of x^2 is negative. <BR>\n" );
document.write( "-----<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2x%5E2%2B2x%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2x%5E2%2B2x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );