document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=725933>Question 725933</A>: <I><SPAN STYLE=\"word-break: break-all;\"> When solving the quadratic equation x2 - 8x + 12 = 0, the solutions are x = 2 and x = 6. If you examine the quadratic function y = x2 - 8x +12, how can you use the solution of the corresponding quadratic equation to determine the x-intercepts of the quadratic function?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #444423 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=444423\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The x-intercepts are the points where the parabola (the graph of the quadratic function) crosses the x-axis.<BR>\n" );
document.write( "The x-axis has the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the x-intercepts have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "You would just have to find their <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > coordinates by solving the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x2+-+8x+%2B+12 ALIGN=MIDDLE  ALT=\"0=x2+-+8x+%2B+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > <--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x2+-+8x+%2B+12+=+0 ALIGN=MIDDLE  ALT=\"x2+-+8x+%2B+12+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "but you already know that the solutions are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=6 ALIGN=MIDDLE  ALT=\"x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( " <BR>\n" );
document.write( "Extra:<BR>\n" );
document.write( "You know that the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x2+-+8x+%2B+12 ALIGN=MIDDLE  ALT=\"y=x2+-+8x+%2B+12\"   DISABLED_style= \"max-width:90%; height:auto;\" > represents a parabola with a vertical axis of symmetry.<BR>\n" );
document.write( "The x-intercepts (2,0) and (6,0) are symmetrical with respect to the vertical line that is the axis of symmetry.<BR>\n" );
document.write( "The axis of symmetry passes through the midpoint of the segment connecting those x-intercepts, the point (4,0), with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%282%2B6%29%2F2=4 ALIGN=MIDDLE  ALT=\"x=%282%2B6%29%2F2=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "The equation of the axis of symmetry is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=4 ALIGN=MIDDLE  ALT=\"x=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "   </SPAN>\n" );
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