document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=316174>Question 316174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> FIND THE EQUATION OF THE PARABOLA WITH THE GIVEN FOCUS AND DIRECTRIX.\r<BR>\n" );
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document.write( "focus (-4,5) directrix y = 4<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #226229 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=226229\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The y coordinate of the vertex is the midpoint of the line connecting the focus and perpendicular to the directrix.<BR>\n" );
document.write( "Vy= (5+4)/2=4.5<BR>\n" );
document.write( "Vertex:(-4,4.5)<BR>\n" );
document.write( "Using the vertex form,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-%28-4%29%29%5E2%2B4.5 ALIGN=MIDDLE  ALT=\"y=a%28x-%28-4%29%29%5E2%2B4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x%2B4%29%5E2%2B4.5 ALIGN=MIDDLE  ALT=\"y=a%28x%2B4%29%5E2%2B4.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" > is any non-zero constant.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+300%2C+300%2C+-8%2C+4%2C+-2%2C+12%2C++grid%281%29%2C+circle%28-4%2C5%2C.15%29%2C%0D%0Acircle%28-4%2C4.5%2C.15%29%2C+blue%28line%28-10%2C4%2C12%2C4%29%29%2Cgraph%28+300%2C+300%2C+-8%2C+4%2C+-2%2C+12%2C+%28x%2B4%29%5E2%2B4.5%2C3%28x%2B4%29%5E2%2B4.5%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Shown above are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=1 ALIGN=MIDDLE  ALT=\"a=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > in red and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=3 ALIGN=MIDDLE  ALT=\"a=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > in green. </SPAN>\n" );
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