document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1081143>Question 1081143</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equation of parabola with directrix at y=8/3 and focus at (-3/2,4)\r<BR>\n" );
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document.write( "Use the distance formula to <BR>\n" );
document.write( "a) find a polynomial equation with integer coefficients for the set of coplanar points/lines described<BR>\n" );
document.write( "b) identify the conic; justify your answer. show work <BR>\n" );
document.write( "For each point (x,y) its distance from the point (-4,-1) is 3/2 times its distance from the line x=5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #695221 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</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=695221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set of points  (x,y) equally distant from line y=8/3 as from point  ( -3/2, 4).  \r<BR>\n" );
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document.write( " Distance Formula and definition for parabola:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E2-16y%2F3%2B64%2F9=%28x%2B3%2F2%29%5E2%2By%5E2-8y%2B16 ALIGN=MIDDLE  ALT=\"y%5E2-16y%2F3%2B64%2F9=%28x%2B3%2F2%29%5E2%2By%5E2-8y%2B16\"   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=-16y%2F3%2B64%2F9%2B8y-16=%28x%2B3%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"-16y%2F3%2B64%2F9%2B8y-16=%28x%2B3%2F2%29%5E2\"   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=%288-16%2F3%29y%2B64%2F9-16=%28x%2B3%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%288-16%2F3%29y%2B64%2F9-16=%28x%2B3%2F2%29%5E2\"   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=%28-8%2F3%29y%2B64%2F9-144%2F9=%28x%2B3%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%28-8%2F3%29y%2B64%2F9-144%2F9=%28x%2B3%2F2%29%5E2\"   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=%28-8%2F3%29y=%28x%2B3%2F2%29%5E2%2B80%2F9 ALIGN=MIDDLE  ALT=\"%28-8%2F3%29y=%28x%2B3%2F2%29%5E2%2B80%2F9\"   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=y=-%283%2F8%29%28x%2B3%2F2%29%5E2-%283%2F8%29%2880%2F9%29 ALIGN=MIDDLE  ALT=\"y=-%283%2F8%29%28x%2B3%2F2%29%5E2-%283%2F8%29%2880%2F9%29\"   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=highlight%28y=-%283%2F8%29%28x%2B3%2F2%29%5E2-10%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28y=-%283%2F8%29%28x%2B3%2F2%29%5E2-10%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >-------Not yet in integer coefficients.  Your parts (a) and (b)  look like a separate question from the description written above them.\r<BR>\n" );
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document.write( "(a)<BR>\n" );
document.write( "What is the given information?  Same as the description shown before it, or is part of  (b) ?\r<BR>\n" );
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document.write( "(b)<BR>\n" );
document.write( "Follow the description as written and put the information into the Distance Formula.  Simplify the equation.<BR>\n" );
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document.write( "Work with it! </SPAN>\n" );
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