document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=373451>Question 373451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The range of this equation -20x(squared)+10x+6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #265800 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=265800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Range means all possible values of y or f(x).  Here we have a parabola, concave down...its vertex will be a maximum value...<BR>\n" );
document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-20x%5E2+%2B+10x+%2B+6 ALIGN=MIDDLE  ALT=\"y+=+-20x%5E2+%2B+10x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "the value where x = -b/2a gives you the x coordinate of the max value...here that is<BR>\n" );
document.write( "x = -10/-40 = 1/4<BR>\n" );
document.write( "Plugging this into the equation, we get<BR>\n" );
document.write( "-20(1/4)^2 + 10(1/4) + 6 =<BR>\n" );
document.write( "-20/16 + 2.5 + 6 =<BR>\n" );
document.write( "-1.25 + 8.5 =<BR>\n" );
document.write( "7.25 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );