document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67833>Question 67833</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sketch the graph f(x)=-2 + 2x -x2       </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48235 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=48235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sketch the graph f(x)=-2 + 2x -x^2 <BR>\n" );
document.write( "f(0)= -2<BR>\n" );
document.write( "f(1)=-1<BR>\n" );
document.write( "f(-1)=-2-2-1=-5<BR>\n" );
document.write( "The vertex is at x=-b/2a=-2/-2=1<BR>\n" );
document.write( "So the vertex is at (1,-1) and you have other<BR>\n" );
document.write( "points (0,-2), (-1,-5)<BR>\n" );
document.write( "With that you should be able to sketch the parabola.<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B2x-2%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x%5E2%2B2x-2%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" );