document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=262790>Question 262790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function, and graph the function.\r<BR>\n" );
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document.write( "f(x)=x^2-4x-1\r<BR>\n" );
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document.write( "Please help me solve. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193568 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=193568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we must put this equation into vertex form. To do that we need to complete the square. I will jump right to vertex form as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x-2%29%5E2-5 ALIGN=MIDDLE  ALT=\"y+=+%28x-2%29%5E2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, we have the vertex as (2, -5)<BR>\n" );
document.write( "line of symmetry is the x-value of the vertex or x = 2.<BR>\n" );
document.write( "Since the equation starts with (+), then the minimum will be at the vertex at (2,-5)<BR>\n" );
document.write( "here is the graph<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-4x-1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2-4x-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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