document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=891029>Question 891029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the equation of a parabola through (-1,-3) and (2,3/2), whose axis is parallel to the y-axis and latus rectum equal to 6.\r<BR>\n" );
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document.write( "Thanks for the help. :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539528 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=539528\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Using the value of the latus rectum,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-k=%281%2F6%29%28x-h%29%5E2 ALIGN=MIDDLE  ALT=\"y-k=%281%2F6%29%28x-h%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=6%28y-k%29=%28x-h%29%5E2 ALIGN=MIDDLE  ALT=\"6%28y-k%29=%28x-h%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now use both points,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%28-3-k%29=%28-1-h%29%5E2 ALIGN=MIDDLE  ALT=\"6%28-3-k%29=%28-1-h%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=-18-6k=-%28h%5E2%2B2h%2B1%29 ALIGN=MIDDLE  ALT=\"-18-6k=-%28h%5E2%2B2h%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2%2B2h%2B1%2B6k=-18 ALIGN=MIDDLE  ALT=\"h%5E2%2B2h%2B1%2B6k=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2%2B2h%2B6k=-19 ALIGN=MIDDLE  ALT=\"h%5E2%2B2h%2B6k=-19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%283%2F2-k%29=%282-h%29%5E2 ALIGN=MIDDLE  ALT=\"6%283%2F2-k%29=%282-h%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=9-6k=4-4h%2Bh%5E2 ALIGN=MIDDLE  ALT=\"9-6k=4-4h%2Bh%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2-4h%2B6k=5 ALIGN=MIDDLE  ALT=\"h%5E2-4h%2B6k=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtracting eq. 2 from eq. 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%5E2%2B2h%2B6k-h%5E2%2B4h-6k=-19-5 ALIGN=MIDDLE  ALT=\"h%5E2%2B2h%2B6k-h%5E2%2B4h-6k=-19-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6h=-24 ALIGN=MIDDLE  ALT=\"6h=-24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-4 ALIGN=MIDDLE  ALT=\"h=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-4%29%5E2%2B2%28-4%29%2B6k=-19 ALIGN=MIDDLE  ALT=\"%28-4%29%5E2%2B2%28-4%29%2B6k=-19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16-8%2B6k=-19 ALIGN=MIDDLE  ALT=\"16-8%2B6k=-19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6k=-27 ALIGN=MIDDLE  ALT=\"6k=-27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k=-9%2F2 ALIGN=MIDDLE  ALT=\"k=-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then the equation is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B9%2F2=%281%2F6%29%28x%2B4%29%5E2 ALIGN=MIDDLE  ALT=\"y%2B9%2F2=%281%2F6%29%28x%2B4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Cgrid%281%29%2Ccircle%28-1%2C-3%2C0.4%29%2Ccircle%282%2C3%2F2%2C0.4%29%2Cgraph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%281%2F6%29%28x%2B4%29%5E2-9%2F2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );