document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=732375>Question 732375</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the vertex, focus, and directrix. Then draw the graph<BR>\n" );
document.write( "1),  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x=8y-1 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x=8y-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2), <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F16%29%2A%28x%2B1%29%5E2+-2 ALIGN=MIDDLE  ALT=\"y=%281%2F16%29%2A%28x%2B1%29%5E2+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #447845 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=447845\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here is a bit of help on your question number 2.\r<BR>\n" );
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document.write( "When you derive the equation for a general parabola through distance formula and directrix and focus, you get a result of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=4p%2Ax%5E2 ALIGN=MIDDLE  ALT=\"y=4p%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and p is the distance from the vertex to the focus and it is also the distance from the vertex to the directrix.\r<BR>\n" );
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document.write( "The shape of your parabola in #2 is the same shape as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F16%29x%5E2 ALIGN=MIDDLE  ALT=\"y=%281%2F16%29x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, only the position has changed.  Compare this with the general equation for the untranslated equation for a parabola.  You can get the value of p through equating 4p with (1/16).  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4p=%281%2F16%29 ALIGN=MIDDLE  ALT=\"4p=%281%2F16%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  \r<BR>\n" );
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document.write( "As for the vertex, look for the information from the given equation (which is already given in standard form) to find the \"(h, k)\" point.<BR>\n" );
document.write( "You have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F16%29%28x-%28-1%29%29%5E2-2 ALIGN=MIDDLE  ALT=\"y=%281%2F16%29%28x-%28-1%29%29%5E2-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so your vertex is (-1, -2).<BR>\n" );
document.write( "If you did not yet find p, do it NOW.  You are ready to find the focus [(-1, -2+p)] and the directrix. </SPAN>\n" );
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