document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131738>Question 131738</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you explain to me how to construct the equation of a parabola that has x-axis intercepts at (-2,0) and (4,0) ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96179 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=96179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Could you explain to me how to construct the equation of a parabola that has x-axis intercepts at (-2,0) and (4,0) ?<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Rule: If \"a\" is a root, (x-a) is a factor.<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "You are given two roots: x = -2 and x=4<BR>\n" );
document.write( "So you have two factors (x+2) and (x-4)<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "y = (x+2)(x-4)<BR>\n" );
document.write( "y = x^2-2x-8<BR>\n" );
document.write( "====================<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-2x-8%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%5E2-2x-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );