document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089165>Question 1089165</A>: <I><SPAN STYLE=\"word-break: break-all;\"> convert the equation to standard form by completing the square on x or y. then find the vertex, focus, and directrix of the parabola. finally, graph the parabola\r<BR>\n" );
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document.write( "x^2+14x-12y+13=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703518 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=703518\">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=-12y=-x%5E2-14x-13 ALIGN=MIDDLE  ALT=\"-12y=-x%5E2-14x-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12y=x%5E2%2B14x%2B13 ALIGN=MIDDLE  ALT=\"12y=x%5E2%2B14x%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12y-13=x%5E2%2B14x ALIGN=MIDDLE  ALT=\"12y-13=x%5E2%2B14x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12y-13%2B49=x%5E2%2B14x%2B49 ALIGN=MIDDLE  ALT=\"12y-13%2B49=x%5E2%2B14x%2B49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12y%2B36=%28x%2B7%29%5E2 ALIGN=MIDDLE  ALT=\"12y%2B36=%28x%2B7%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%2812%28y%2B3%29=%28x%2B7%29%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%2812%28y%2B3%29=%28x%2B7%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >------This form of equation allows to easily find vertex, and distance from either focus or directrix.\r<BR>\n" );
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document.write( "Parabola has vertex as a minimum point.<BR>\n" );
document.write( "Vertex (-7,-3)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p=12 ALIGN=MIDDLE  ALT=\"4p=12\"   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 ALIGN=MIDDLE  ALT=\"p=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Focus  (-7,0)<BR>\n" );
document.write( "Directrix y=-6, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-6 ALIGN=MIDDLE  ALT=\"y=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-16%2C4%2C-10%2C10%2C%281%2F12%29x%5E2%2B%287%2F6%29x%2B13%2F12%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-16%2C4%2C-10%2C10%2C%281%2F12%29x%5E2%2B%287%2F6%29x%2B13%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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