document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=440299>Question 440299</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the tangent line to the parabola y=2x^2 at the point       (-1,2), and find the x-intercept of the line.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304189 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=304189\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an equation of the tangent line to the parabola y=2x^2 at the point       (-1,2), and find the x-intercept of the line. <BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "y = 2x^2<BR>\n" );
document.write( "y' = 4x<BR>\n" );
document.write( "At x = -1, slope y' = -4<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "y = mx + b<BR>\n" );
document.write( "2 = -4*(-1) + b<BR>\n" );
document.write( "b = -2<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Ooh, x-int<BR>\n" );
document.write( "y = -4x -2 is the eqn of the tangent line<BR>\n" );
document.write( "0 = -4x - 2<BR>\n" );
document.write( "x = -1/2 is the x-intercetp </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );