document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478335>Question 478335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please help with the following problem?\r<BR>\n" );
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document.write( "Find the vertex f(x) = -2x^2+2x+6\r<BR>\n" );
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document.write( "Can you please show the steps so that I can figure out where I am going wrong.  Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327739 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=327739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex f(x) = -2x^2+2x+6<BR>\n" );
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document.write( "Standard form of an equation for a parabola: A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. A is a multiplier which affects the steepness of the curve.<BR>\n" );
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document.write( "f(x)=-2x^2+2x+6<BR>\n" );
document.write( "completing the square to see equation in standard form<BR>\n" );
document.write( "f(x)=-2(x^2-x+1/4)+6+1/2<BR>\n" );
document.write( "f(x)=-2(x-1/2)^2+13/2<BR>\n" );
document.write( "This is an equation of a parabola with vertex at (1,13/2). The negative coefficient of the lead term means it opens downward, that is, it has a maximum.<BR>\n" );
document.write( "see the graph below as a visual check on the answer<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-2x%5E2%2B2x%2B6%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C-2x%5E2%2B2x%2B6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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