document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895586>Question 895586</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help putting this equation into standard form, and if it is a parabola I have to identify the vertex and focus. If its and ellipse or hyperbola I have to identify the vertices and foci. \r<BR>\n" );
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document.write( "X^2+12x+y+41=0 \r<BR>\n" );
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document.write( "I have gotten to (x-6)^2=  (y+5) I need help completing the rest of it and identifying all of the things above please. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543106 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=543106\">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%2B12x%2By%2B41=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B12x%2By%2B41=0\"   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%2B12x%2B36%2By%2B41=36 ALIGN=MIDDLE  ALT=\"x%5E2%2B12x%2B36%2By%2B41=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B6%29%5E2%2By%2B41=36 ALIGN=MIDDLE  ALT=\"%28x%2B6%29%5E2%2By%2B41=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%28x%2B6%29%5E2-5 ALIGN=MIDDLE  ALT=\"y=-%28x%2B6%29%5E2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Parabola with vertex (-6,-5) opens downwards.<BR>\n" );
document.write( "Focus <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B5=-%28x%2B6%29%5E2 ALIGN=MIDDLE  ALT=\"y%2B5=-%28x%2B6%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=-%28y%2B5%29=%28x%2B6%29%5E2 ALIGN=MIDDLE  ALT=\"-%28y%2B5%29=%28x%2B6%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=4p=-1 ALIGN=MIDDLE  ALT=\"4p=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=-1%2F4 ALIGN=MIDDLE  ALT=\"p=-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Focus : (-6,-5-1/4)=(-6,-21/4)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C2%2C-10%2C2%2C-%28x%2B6%29%5E2-5%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C2%2C-10%2C2%2C-%28x%2B6%29%5E2-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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