document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=861647>Question 861647</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the equation of a parabola, in standard form satisfying the given conditions: Focus (0,2); directrix y=-2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #519157 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=519157\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have two choices.  One is to use the basic developed formulaic knowledge about a parabola.  The other is to use the distance formula to derive the equation which you want.  \r<BR>\n" );
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document.write( "There is a general point on the parabola, (x, y).  There is the line y=-2 and there is the focus (0,2).  The variable point for the directrix line is (x,-2).  Can you begin to draw this and see that the vertex will be (0,0) the origin?  Continue to draw a representation of this parabola, since it will also help you in the use of the distance formula.\r<BR>\n" );
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document.write( "Distance parabola to focus = Distance parabola to directrix\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x-0%29%5E2%2B%28y-2%29%5E2%29=sqrt%28%28x-x%29%5E2%2B%28y-%28-2%29%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%28x-0%29%5E2%2B%28y-2%29%5E2%29=sqrt%28%28x-x%29%5E2%2B%28y-%28-2%29%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; Does this equation make sense to you?  When it makes sense, then simplify it, and work it into solved as y in terms of x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2%2B%28y-2%29%5E2%29=sqrt%280%2B%28y%2B2%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2%2B%28y-2%29%5E2%29=sqrt%280%2B%28y%2B2%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28y-2%29%5E2=%28y%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28y-2%29%5E2=%28y%2B2%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=x%5E2%2By%5E2-4y%2B4=y%5E2%2B4y%2B4 ALIGN=MIDDLE  ALT=\"x%5E2%2By%5E2-4y%2B4=y%5E2%2B4y%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-4y=4y ALIGN=MIDDLE  ALT=\"x%5E2-4y=4y\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----this was a combination step, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4y=x%5E2-4y ALIGN=MIDDLE  ALT=\"4y=x%5E2-4y\"   DISABLED_style= \"max-width:90%; height:auto;\" >------symmetric property<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8y=x%5E2 ALIGN=MIDDLE  ALT=\"8y=x%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%28y=%281%2F8%29x%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%28y=%281%2F8%29x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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