document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024401>Question 1024401</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex, directrix,focus and the length of the latus rectan of the parabola y^2+4y+3x-4=0.sketch the graph. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639833 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=639833\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y^2+4y+3x-4=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=-y%5E2-4y%2B4 ALIGN=MIDDLE  ALT=\"3x=-y%5E2-4y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, somewhat easy because right side contains a perfect square...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=-1%28y%5E2%2B4y-4%29 ALIGN=MIDDLE  ALT=\"3x=-1%28y%5E2%2B4y-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x=y%5E2%2B4y-4 ALIGN=MIDDLE  ALT=\"-3x=y%5E2%2B4y-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x=y%5E2%2B4y%2B4-4-4 ALIGN=MIDDLE  ALT=\"-3x=y%5E2%2B4y%2B4-4-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >----completing the square using  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x=%28y%2B2%29%5E2-8 ALIGN=MIDDLE  ALT=\"-3x=%28y%2B2%29%5E2-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%2B8=%28y%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"-3x%2B8=%28y%2B2%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=highlight%28-3%28x-8%2F3%29=%28y%2B2%29%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28-3%28x-8%2F3%29=%28y%2B2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OR<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%283%28x-8%2F3%29=-1%2A%28y%2B2%29%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%283%28x-8%2F3%29=-1%2A%28y%2B2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You might want to know why I put the equation into that form, and not into \"standard form\".\r<BR>\n" );
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document.write( "Study this video lesson about equations of parabolas!<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.youtube.com/watch?v=Wworlx39KfQ\">Deriving equation for a parabola if given directrix and focus and if vertex is not at Origin</a>\r<BR>\n" );
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document.write( "Recognize that YOUR parabola has horizontal symmetry axis, and opens to the LEFT. </SPAN>\n" );
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