document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201859>Question 201859</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please help me with this problem.\r<BR>\n" );
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document.write( "State whether the paraabola opens upward or downward.\r<BR>\n" );
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document.write( "f(x)=-x^2-18 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #152098 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=152098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Notice that the quadratic <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-x%5E2-18 ALIGN=MIDDLE  ALT=\"f%28x%29=-x%5E2-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=Ax%5E2%2BBx%2BC ALIGN=MIDDLE  ALT=\"f%28x%29=Ax%5E2%2BBx%2BC\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <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;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=0 ALIGN=MIDDLE  ALT=\"B=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=-18 ALIGN=MIDDLE  ALT=\"C=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Recall that\r<BR>\n" );
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document.write( "if A > 0, then the parabola opens upward\r<BR>\n" );
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document.write( "if A < 0, then the parabola opens downward\r<BR>\n" );
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document.write( "Since <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;\" >, which is less than 0, this means that the parabola opens downward.\r<BR>\n" );
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document.write( "Here's a graph to prove it:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28500%2C+500%2C+-20%2C+20%2C+-25%2C+15%2C%0D%0A+graph%28+500%2C+500%2C+-20%2C+20%2C+-25%2C+15%2C-x%5E2-18%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=-x%5E2-18 ALIGN=MIDDLE  ALT=\"f%28x%29=-x%5E2-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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