document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44940>Question 44940</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (x-1)2=(12y-1).This is a 6 answer question my son is having trouble with. we need to find the:<BR>\n" );
document.write( "1]vertex<BR>\n" );
document.write( "2]focus<BR>\n" );
document.write( "3]axis of symmetry<BR>\n" );
document.write( "4]directrix<BR>\n" );
document.write( "5]direction<BR>\n" );
document.write( "6]length of latus rectum </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29787 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=29787\">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=%28x+-+1%29%5E2+=+12y+-+1 ALIGN=MIDDLE  ALT=\"%28x+-+1%29%5E2+=+12y+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+1%29%5E2+%2B+1+=+12y ALIGN=MIDDLE  ALT=\"%28x+-+1%29%5E2+%2B+1+=+12y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F12%29%28x+-+1%29%5E2+%2B+1%2F12+=+y ALIGN=MIDDLE  ALT=\"%281%2F12%29%28x+-+1%29%5E2+%2B+1%2F12+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" > This Is Called Vertex Form<BR>\n" );
document.write( "Vertex Form: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28x+-+h%29+%2B+k+=+y ALIGN=MIDDLE  ALT=\"a%28x+-+h%29+%2B+k+=+y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1]vertex<BR>\n" );
document.write( "(h,k)<BR>\n" );
document.write( "(1,1/12)<BR>\n" );
document.write( "3]axis of symmetry<BR>\n" );
document.write( "Since the parabola is vertical, the axis of symmetry is vertical and goes through the vertex: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1 ALIGN=MIDDLE  ALT=\"x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2]focus<BR>\n" );
document.write( "Now: 'p' is the distance from the vertex to foci as well as the distance from the vertex to the directrix<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+1%2F%284a%29 ALIGN=MIDDLE  ALT=\"p+=+1%2F%284a%29\"   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%2F%284%281%2F12%29%29 ALIGN=MIDDLE  ALT=\"p+=+1%2F%284%281%2F12%29%29\"   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%2F%281%2F3%29 ALIGN=MIDDLE  ALT=\"p+=+1%2F%281%2F3%29\"   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" );
document.write( "3 units above the vertex: (1,3 1/12) or (1,37/12)<BR>\n" );
document.write( "4]directrix<BR>\n" );
document.write( "opposite of 'p'<BR>\n" );
document.write( "3 units below the vertex; also, the directrix is a horizontal line: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-37%2F12 ALIGN=MIDDLE  ALT=\"y+=+-37%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5]direction<BR>\n" );
document.write( "We know that the parabola is vertical because 'x' is square, not 'y'. Since the value known as 'a' is positive, your parabola opens upward.<BR>\n" );
document.write( "6]length of latus rectum<BR>\n" );
document.write( "The Latus Rectum is the distance from one point of the parabola to the other going through the focus (in a straight line.)<BR>\n" );
document.write( "LR = |1/a|<BR>\n" );
document.write( "LR = |1/(1/12)|<BR>\n" );
document.write( "LR = 12<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+%281%2F12%29%28x+-+1%29%5E2+%2B+1%2F12%2C-37%2F12%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );