document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040915>Question 1040915</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What would be the length of latus rectum and vertex of the parabola 3x=y2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655852 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=655852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x-h%29=%28y-k%29%5E2 ALIGN=MIDDLE  ALT=\"3%28x-h%29=%28y-k%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x-0%29=%28y-0%29%5E2 ALIGN=MIDDLE  ALT=\"3%28x-0%29=%28y-0%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Vertex is (0,0), the Origin.\r<BR>\n" );
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document.write( "Compare <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28x-0%29=%28y-0%29%5E2 ALIGN=MIDDLE  ALT=\"3%28x-0%29=%28y-0%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  to  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p%28x-0%29=%28y-0%29%5E2 ALIGN=MIDDLE  ALT=\"4p%28x-0%29=%28y-0%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "p is the distance from vertex to either focus or directrix.  Your parabola is horizontal and the vertex is on the left for minimum x value, and focus is to the right of the vertex.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p=3 ALIGN=MIDDLE  ALT=\"4p=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=3%2F4 ALIGN=MIDDLE  ALT=\"p=3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The focus is at ( 3/4, 0).\r<BR>\n" );
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document.write( "Endpoints of Latus Rectum:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0%2B-+sqrt%283x%29 ALIGN=MIDDLE  ALT=\"y=0%2B-+sqrt%283x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0%2B-+sqrt%283%283%2F4%29%29 ALIGN=MIDDLE  ALT=\"y=0%2B-+sqrt%283%283%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0%2B-+3%2F2 ALIGN=MIDDLE  ALT=\"y=0%2B-+3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The focus is ON the x-axis;<BR>\n" );
document.write( "Latus Rectum is from the upper y-value to the lower y-value at the focus.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28LatusRectumLength=3%29 ALIGN=MIDDLE  ALT=\"highlight%28LatusRectumLength=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Study your book's lesson on this and related, and also study  <a  rel=nofollow HREF=\"https://www.youtube.com/watch?v=M8LGsQMwwj4\">derive equation for parabola of given focus and directrix</a>  and <a  rel=nofollow HREF=\"https://www.youtube.com/watch?v=Wworlx39KfQ\">same thing, different orientation, but vertex NOT at Origin</a> </SPAN>\n" );
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