document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=463928>Question 463928</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I would appreciate help solving this question:\r<BR>\n" );
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document.write( "A section of a roller coaster ride is described by the equation y = 0.005x^2 -2x +200 where y represents the vertical distance in feet and x represents the horizontal distance in feet.  At what value of x will the track turn upwards? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317771 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317771\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By \"looking\" at:<BR>\n" );
document.write( "y = 0.005x^2 -2x +200 <BR>\n" );
document.write( "we know that it is a parabola that opens upwards (because of the positive coefficient associated with the x^2 term).<BR>\n" );
document.write( "So, the vertex would be the lowest point and where it would turn upwards:<BR>\n" );
document.write( "x = -b/(2a)<BR>\n" );
document.write( "x = -(-2)/(2*0.005)<BR>\n" );
document.write( "x = 2/0.010<BR>\n" );
document.write( "x = 200 (this is what they're looking for)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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