document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=498398>Question 498398</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone Please help me, this problem is confusing to me \r<BR>\n" );
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document.write( "graph the function find the vertex line of symmetry and maximum or minimum value<BR>\n" );
document.write( " f(x)=(x+3)^2 -2 \r<BR>\n" );
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document.write( "the vertex is \r<BR>\n" );
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document.write( "the minimum value is f(x)= \r<BR>\n" );
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document.write( "the answer i got was \r<BR>\n" );
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document.write( "(-3,-2) \r<BR>\n" );
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document.write( "the second part f(x)=-2 <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 #337029 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=337029\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation is f(x) = (x+3)^2 - 2<BR>\n" );
document.write( "here's the graph<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C%28x%2B3%29%5E2+-+2%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C%28x%2B3%29%5E2+-+2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the vertex is at (-3,-2)<BR>\n" );
document.write( "the minimum point is at the vertex, so the minimum point is at (-3,-2)<BR>\n" );
document.write( "the line of symmetry is at x = -3<BR>\n" );
document.write( "the line of symmetry for this graph is a vertical line that passes through the vertex.<BR>\n" );
document.write( "the equation for that line would be x = -3.<BR>\n" );
document.write( "the equation of f(x) = (x+3)^2 - 2 is a quadratic equation.<BR>\n" );
document.write( "if you multiply out the factor, you get:<BR>\n" );
document.write( "f(x) = x^2 + 6x + 9 - 2 which becomes:<BR>\n" );
document.write( "f(x) = x^2 + 6x + 7<BR>\n" );
document.write( "set this equation to 0 and you get the standard form of a quadratic equation.<BR>\n" );
document.write( "the standard form is:<BR>\n" );
document.write( "ax^2 + bx + c = 0<BR>\n" );
document.write( "in this equation:<BR>\n" );
document.write( "a = 1<BR>\n" );
document.write( "b = 6<BR>\n" );
document.write( "c = 7<BR>\n" );
document.write( "the formula for the vertex is:<BR>\n" );
document.write( "x = -b/2a<BR>\n" );
document.write( "replace b and a with their values and you get:<BR>\n" );
document.write( "x = -6/2 which becomes x = -3<BR>\n" );
document.write( "when x = -3, f(-3x) = (-3)^2 + 6(-3) + 7 which becomes f(-3) = 9 - 18 + 7 which becomes f(-3) = -2.<BR>\n" );
document.write( "the vertex is at (-3,-2).<BR>\n" );
document.write( "that's the same point you got.<BR>\n" );
document.write( "here's another picture of the graph for this equation that i could mark up for you.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2011/sep151.jpg\" alt = \"$$$$$\" />\r<BR>\n" );
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