document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70893>Question 70893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> AH peoplle please help im stuck on these!!<BR>\n" );
document.write( "ahh <BR>\n" );
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document.write( "it says Determine an equation of the parabola with the following property\r<BR>\n" );
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document.write( "1) Focus at (0,-6) and directrix y=6.\r<BR>\n" );
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document.write( "THEN it says\r<BR>\n" );
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document.write( "determine the vertex,focus,and directrix for each parabola. Sketch each parabola.\r<BR>\n" );
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document.write( "1) y[squared]=-3x\r<BR>\n" );
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document.write( "2)x[squared]=12y\r<BR>\n" );
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document.write( "3) x[squared]-8x-y+20=0\r<BR>\n" );
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document.write( "oh man please help anyone! :( </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50643 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=50643\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine an equation of the parabola with the following property <BR>\n" );
document.write( "1) Focus at (0,-6) and directrix y=6.<BR>\n" );
document.write( "Plot the point and sketch the line on a coordinate system.<BR>\n" );
document.write( "The vertex is half way between the directrix and the focus.<BR>\n" );
document.write( "So the vertex is (0,0)<BR>\n" );
document.write( "\"p\" is the distance from the vertex to the focus:<BR>\n" );
document.write( "p=-6<BR>\n" );
document.write( "Therefore 4p=-24<BR>\n" );
document.write( "So the equation of the parabola is:<BR>\n" );
document.write( "(x-0)^2 = -24(y-0)<BR>\n" );
document.write( "x^2 = -24y<BR>\n" );
document.write( "y=(-1/24)x^2<BR>\n" );
document.write( "--------------------\r<BR>\n" );
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document.write( "THEN it says <BR>\n" );
document.write( "determine the vertex,focus,and directrix for each parabola. Sketch each parabola. <BR>\n" );
document.write( "1) y[squared]=-3x <BR>\n" );
document.write( "Put the equation in vertex form which is (y-k)^2 = 4p(x-h)<BR>\n" );
document.write( "(y-0)^2 = -3(x-0)<BR>\n" );
document.write( "vertex is (0,0)<BR>\n" );
document.write( "4p = -3<BR>\n" );
document.write( "p = -3/4<BR>\n" );
document.write( "So the focus is at (-3/4,0)<BR>\n" );
document.write( "The directrix is x=3/4<BR>\n" );
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document.write( "2)x[squared]=12y <BR>\n" );
document.write( "(x-0)^2 = 12(y-0)<BR>\n" );
document.write( "vertex = (0,0)<BR>\n" );
document.write( "4p=12<BR>\n" );
document.write( "p=3<BR>\n" );
document.write( "Focus is at (0,3)<BR>\n" );
document.write( "Directrix is y=-3<BR>\n" );
document.write( "-----------------------<BR>\n" );
document.write( "3) x[squared]-8x-y+20=0 <BR>\n" );
document.write( "x^2-8x = y-20<BR>\n" );
document.write( "Complete the square to get:<BR>\n" );
document.write( "x^2-8x+16 = y-20+16<BR>\n" );
document.write( "(x-4)^2 = y-4<BR>\n" );
document.write( "vertex at (4,4)<BR>\n" );
document.write( "4p = 1<BR>\n" );
document.write( "p= 1/4<BR>\n" );
document.write( "Focus (4,4+1/4) or (4,17/4)<BR>\n" );
document.write( "directrix at y=4-(1/4) <BR>\n" );
document.write( "y=15/4<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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