document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=829841>Question 829841</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the equation y=a*(x+4)^2+2 to find the equation whose curve passes through the origin. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500207 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=500207\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=a*(x+4)^2+2<BR>\n" );
document.write( "to pass through the origin (0,0) we need x = 0 and y = 0<BR>\n" );
document.write( "0=a*(0+4)^2+2<BR>\n" );
document.write( "0=a(4^2)+2<BR>\n" );
document.write( "0=a(16)+2<BR>\n" );
document.write( "add -2 to each side<BR>\n" );
document.write( "-2=16a<BR>\n" );
document.write( "divide each side by 16<BR>\n" );
document.write( "-2/16=a<BR>\n" );
document.write( "a = -1/8<BR>\n" );
document.write( "substituting in y=a*(x+4)^2+2<BR>\n" );
document.write( "0=(-1/8)(0+4)+2<BR>\n" );
document.write( "0=(-1/8)(4)+2<BR>\n" );
document.write( "0=-2+2<BR>\n" );
document.write( "So the value of a that will produce an equation that passes through<BR>\n" );
document.write( "the origin is -1/8<BR>\n" );
document.write( "The equation we want is<BR>\n" );
document.write( "y=(-1/8)(x+4)^2+2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );