document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=503166>Question 503166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the vertex, the line of symmetry and the maximum or minimum value of f(x). Graph the function f(x)=.2(x+6)^2+1\r<BR>\n" );
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document.write( "the vertex is=\r<BR>\n" );
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document.write( "the line of symmetery is=\r<BR>\n" );
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document.write( "what is the man/min of f(x)=\r<BR>\n" );
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document.write( "is the value f(-6)=1, a min or max?\r<BR>\n" );
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document.write( "then graph that represents. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339096 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=339096\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the vertex, the line of symmetry and the maximum or minimum value of f(x). Graph the function f(x)=1/5(x+6)^2+1 <BR>\n" );
document.write( "the vertex is= <BR>\n" );
document.write( "the line of symmetery is= <BR>\n" );
document.write( "what is the man/min of f(x)= <BR>\n" );
document.write( "is the value f(-6)=1, a min or max? <BR>\n" );
document.write( "then graph that represents.<BR>\n" );
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document.write( "This is an equation of a parabola of the standard form: y=A(x-h)^2+k, with (h,k) being the (x,y) coordinates of the vertex. Because lead coefficient is positive, parabola opens upwards, that is, function has a minimum.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For given equation:<BR>\n" );
document.write( "Vertex:(-6, 1)<BR>\n" );
document.write( "Line of symmetry: x=-6<BR>\n" );
document.write( "Minimum: 1<BR>\n" );
document.write( "f(-6)=1 is a minimum<BR>\n" );
document.write( "see graph below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C5%2C+-10%2C+10%2C+.2%28x%2B6%29%5E2%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C5%2C+-10%2C+10%2C+.2%28x%2B6%29%5E2%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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