document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150225>Question 150225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone help me with this problem?  I know how to graph, but when the function deals with fractions I get a bit confused.  I have indicated the answers and want to know if my answers are correct.  I would appreciate help to see if I solved the problem correctly.\r<BR>\n" );
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document.write( "The problem states:\r<BR>\n" );
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document.write( "Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).  Graph the function. \r<BR>\n" );
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document.write( "f(x)=1/2(x+6)^2+4\r<BR>\n" );
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document.write( "The vertex is: (-6,4)<BR>\n" );
document.write( "The line of symmetry is x= -6<BR>\n" );
document.write( "What is the maximum/minimum value of f(x)? 4<BR>\n" );
document.write( "Is the value, f(-6)=4, a maximum or minimum? Maximum\r<BR>\n" );
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document.write( "Note: The 1/2 means one half, not 1 divided by 2, just to clarify the problem.\r<BR>\n" );
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document.write( "Did I solve this problem correctly?  Thank you for your help.\r<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 #110270 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=110270\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's a graph of the function<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28x%2B6%29%5E2%2F2%2B4 ALIGN=MIDDLE  ALT=\"y=%28x%2B6%29%5E2%2F2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\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+-10%2C+10%2C+-10%2C+10%2Cgrid%28+1+%29%2Cgraph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+.5%2A%28x%2B6%29%5E2%2B4%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's check your answers.<BR>\n" );
document.write( "1. Vertex:(-6,4). Correct.<BR>\n" );
document.write( "2. Line of symmetry:x=-6. Correct.<BR>\n" );
document.write( "3. Max/Min value:f(-6)=4. Correct.<BR>\n" );
document.write( "4. Max or Min:Maximum. Incorrect. <BR>\n" );
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document.write( "This is determined by the sign of the coefficient of <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;\" ><BR>\n" );
document.write( "If it's positive, like in this case(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >), the parabola opens up, minimum value occurs. <BR>\n" );
document.write( "If it's negative, unlike this case, the parabola opens down, maximum value occurs. \r<BR>\n" );
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