document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=761279>Question 761279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the vertex and directrix for the parabola\r<BR>\n" );
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document.write( "y + 2 = 1/3 (x+2) ^ 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #463305 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=463305\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex and directrix for the parabola <BR>\n" );
document.write( "y + 2 = 1/3 (x+2) ^ 2<BR>\n" );
document.write( "rewrite equation in basic form: (x-h)^2=4p(y-k), (h,k)=(x,y) coordinates of the vertex.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%2B2=%281%2F3%29%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"y%2B2=%281%2F3%29%28x%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=3y%2B6%29=%28x%2B2%29%5E2 ALIGN=MIDDLE  ALT=\"3y%2B6%29=%28x%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=%28x%2B2%29%5E2=3%28y%2B2%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E2=3%28y%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an equation of a parabola that opens upward.<BR>\n" );
document.write( "vertex: (-2,-2)<BR>\n" );
document.write( "axis of symmetry: x=-2<BR>\n" );
document.write( "4p=3<BR>\n" );
document.write( "p=3/4<BR>\n" );
document.write( "directrix: y=11/4 (p-units below vertex on the axis of symmetry.\r<BR>\n" );
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document.write( "see graph below as a visual check<BR>\n" );
document.write( "y= (x^2+4x+4)/3-2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%5E2%2B4x%2B4%29%2F3-2%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x%5E2%2B4x%2B4%29%2F3-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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