document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70615>Question 70615</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ah help meeeeeee :[[ it says determine whether each parabola opens upward,downward,left or right.\r<BR>\n" );
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document.write( "1) y=-6x[squared]<BR>\n" );
document.write( "2) 2x+6y[squared]=0\r<BR>\n" );
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document.write( "THEN, it says identify the focus and the directix of the graph of each equation <BR>\n" );
document.write( ":(\r<BR>\n" );
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document.write( "y=-8x[squared]<BR>\n" );
document.write( "x-5y[squared]0\r<BR>\n" );
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document.write( "thanks guys :( </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50408 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=50408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) y=-6x[squared]<BR>\n" );
document.write( "The negative forces the y-values to go down; so it opens down.<BR>\n" );
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document.write( "2) 2x+6y[squared]=0 <BR>\n" );
document.write( "x=-3y^2<BR>\n" );
document.write( "The negative forces the x-values to go to the left; so it opens to the left<BR>\n" );
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document.write( "THEN, it says identify the focus and the directix of the graph of each equation <BR>\n" );
document.write( ":( <BR>\n" );
document.write( "y=-8x^2<BR>\n" );
document.write( "Rewrite as (x-0)^2=(-1/8)(y-0)<BR>\n" );
document.write( "4p=-1/8<BR>\n" );
document.write( "p=-1/32<BR>\n" );
document.write( "The vertex is at (0,0)<BR>\n" );
document.write( "The parabola opens down because of the negative.<BR>\n" );
document.write( "So the focus is at (0,-1/32)<BR>\n" );
document.write( "The directrix is y=1/32<BR>\n" );
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document.write( "x-5y[squared]=0 <BR>\n" );
document.write( "x-5y^2=0<BR>\n" );
document.write( "5y^2=x<BR>\n" );
document.write( "y^2=(1/5)x<BR>\n" );
document.write( "(y-0)^2 = (1/5)(x-0)<BR>\n" );
document.write( "4p=1/5<BR>\n" );
document.write( "p=1/20<BR>\n" );
document.write( "vertex=(0,0)<BR>\n" );
document.write( "The parabola opens to the right, so:<BR>\n" );
document.write( "focus at (1/20,0)<BR>\n" );
document.write( "directrix: x= -1/20<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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