document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=814895>Question 814895</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A parabolic reflector for a car headlight forms a bowl shape that is 6 in. wide at its opening and 3 in. deep.  How far from the vertex should the filament of the bulb be placed if it is to be located at the focus? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #490584 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=490584\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A parabolic reflector for a car headlight forms a bowl shape that is 6 in. wide at its opening and 3 in. deep. How far from the vertex should the filament of the bulb be placed if it is to be located at the focus?<BR>\n" );
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document.write( "Draw a parabola that opens up with vertex at the origin.<BR>\n" );
document.write( "basic equation for parabola: <BR>\n" );
document.write( "x^2=4py<BR>\n" );
document.write( "known point(3,3)(top right edge of the bowl)<BR>\n" );
document.write( "3^2=4p3<BR>\n" );
document.write( "4p=9/3=3<BR>\n" );
document.write( "p=3/4<BR>\n" );
document.write( "axis of symmetry:x=0<BR>\n" );
document.write( "focus:(0,3/4)(p-distance above vertex on the axis of symmetry)<BR>\n" );
document.write( "How far from the vertex should the filament of the bulb be placed? 3/4 inch </SPAN>\n" );
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