document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1076552>Question 1076552</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How are the steps to find the coordinates of the vertex for the parabola defined by the given quadratic function: <BR>\n" );
document.write( "2(x-3)^2+1<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 #691244 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=691244\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-3%29%5E2%2B1 ALIGN=MIDDLE  ALT=\"2%28x-3%29%5E2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Vertex occurs in the exact middle of the roots.  You can solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28x-3%29%5E2%2B1=0 ALIGN=MIDDLE  ALT=\"2%28x-3%29%5E2%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then the average of the roots is the x value for the vertex... but since your function is already given in standard form,  the vertex is  (3,1).\r<BR>\n" );
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document.write( "The vertex for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=a%28x-h%29%5E2%2Bk ALIGN=MIDDLE  ALT=\"y=a%28x-h%29%5E2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" >  is the point   (h,k). </SPAN>\n" );
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