document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328402>Question 328402</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Without graphing, determine whether the following paraholas opens upward or <BR>\n" );
document.write( "downward and find the vertex. \r<BR>\n" );
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document.write( "g(x)=-4(x+1)^2+8<BR>\n" );
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document.write( "I know it opens downward and the vertex is (-1,8) I just don't know how it was <BR>\n" );
document.write( "found.  Can you please help. <BR>\n" );
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document.write( "Thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235228 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=235228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> DUPLICATE <BR>\n" );
document.write( "Previously answered See Answer 235190.\r<BR>\n" );
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document.write( "It opens downward because the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > coefficient is negative (-4).<BR>\n" );
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document.write( "It's in vertex form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > where (h,k) is the vertex.<BR>\n" );
document.write( "If the parabola opens upwards, the vertex y coordinate is the minimum y value.<BR>\n" );
document.write( "If the parabola opens downwards, the vertex y coordinate is the maximum y value.<BR>\n" );
document.write( "In this case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ymax=8 ALIGN=MIDDLE  ALT=\"ymax=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-6%2C6%2C-2%2C10%2Cgrid%281%29%2Ccircle%28-1%2C8%2C.25%29%2Cgraph%28300%2C300%2C-6%2C6%2C-2%2C10%2C-4%28x%2B1%29%5E2%2B8%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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