document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1170337>Question 1170337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the parabola having the equation x^2+4y+8x=4, find the vertex, focus, and the length of the latus rectum. 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 #795237 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39616)</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=795237\">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=x%5E2%2B8x=4-4y ALIGN=MIDDLE  ALT=\"x%5E2%2B8x=4-4y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B8x%2B16=4-4y%2B16 ALIGN=MIDDLE  ALT=\"x%5E2%2B8x%2B16=4-4y%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B4%29%5E2=-4y%2B20 ALIGN=MIDDLE  ALT=\"%28x%2B4%29%5E2=-4y%2B20\"   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%28x%2B4%29%5E2=-4%28y%2B5%29%29 ALIGN=MIDDLE  ALT=\"highlight%28%28x%2B4%29%5E2=-4%28y%2B5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The equation now shows parabola is concave downward with vertex as maximum point.\r<BR>\n" );
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document.write( "Vertex (-4,-5)<BR>\n" );
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document.write( "Distance between vertex and either focus or directrix is 1.<BR>\n" );
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document.write( "Focus (-4,-6)<BR>\n" );
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document.write( "Directrix  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-4 ALIGN=MIDDLE  ALT=\"y=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C4%2C-10%2C4%2C-%281%2F4%29%28x%2B4%29%5E2-5%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C4%2C-10%2C4%2C-%281%2F4%29%28x%2B4%29%5E2-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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