document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=163085>Question 163085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can someone please help me with these two problems:\r<BR>\n" );
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document.write( "State whether the parabola opens upward or downward.\r<BR>\n" );
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document.write( "1. f(x) = 8(x-2)^2 - 4<BR>\n" );
document.write( "2. f(X) = 1/2X^2 - 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120239 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=120239\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. f(x) = 8(x-2)^2 - 4<BR>\n" );
document.write( "F(X)=8(X^2-4X+4)-4<BR>\n" );
document.write( "F(X)=8X^2-32X+32-4<BR>\n" );
document.write( "F(X)=8X^2-32X+28 (RED CURVE)<BR>\n" );
document.write( "2. f(X) = 1/2X^2 - 1<BR>\n" );
document.write( "F(X)=X^2/2-1 (GREEN CURVE)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+8x%5E2+-32x+%2B28%2C+x%5E2%2F2+-1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+8x%5E2+-32x+%2B28%2C+x%5E2%2F2+-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions 8x^2 -32x +28 and x^2/2 -1). <BR>\n" );
document.write( "BOTH CURVES OPEN UPWARD. </SPAN>\n" );
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