document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=18324>Question 18324</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello to all!\r<BR>\n" );
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document.write( "Could someone kindly explain to me clearly, how to  find the Vertex and intercepts of: \r<BR>\n" );
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document.write( "y = x^2 - 6x<BR>\n" );
document.write( "The answer key says the Vertex is (3, -9), intercepts: (0,0), (6,0).\r<BR>\n" );
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document.write( "I certainly thank and appreciate all help given.<BR>\n" );
document.write( "AC </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8825 by </B><A HREF=/tutors/aboutme.mpl?userid=Alwayscheerful><B>Alwayscheerful(414)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alwayscheerful><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=8825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there are 2 ways to solve, graph or mathematical.<BR>\n" );
document.write( "the graph would look like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cx%5E2-6x%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cx%5E2-6x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If your graph was super detailed, you could see where the bottom was, but we can't here.  Well, we can, but it's not accurate, so we use a formula to check.<BR>\n" );
document.write( "The vertex is the very bottom of the little dip.<BR>\n" );
document.write( "A formula would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=b%2F-2a ALIGN=MIDDLE  ALT=\"h=b%2F-2a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "H stands for the X value of the vertex<BR>\n" );
document.write( "K stands for the Y value of the vertex<BR>\n" );
document.write( "The b is in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2%2Bbx%2Bc=0 ALIGN=MIDDLE  ALT=\"ax%5E2%2Bbx%2Bc=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "In this case, the b would be -6 and the a woul dbe 1<BR>\n" );
document.write( "Plug the numbers into the formula<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=-6%2F-2%281%29 ALIGN=MIDDLE  ALT=\"h=-6%2F-2%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h=3 ALIGN=MIDDLE  ALT=\"h=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The X value of the vertex is 3, as stated in your answer key. :)\r<BR>\n" );
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document.write( "Then to find the Y value, plug 3 into wherever you see X.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%29%5E2-6%283%29 ALIGN=MIDDLE  ALT=\"%283%29%5E2-6%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9-18=-9 ALIGN=MIDDLE  ALT=\"9-18=-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The Y value of the vertex is -9, as stated in your answer key :)<BR>\n" );
document.write( "So, the vertex is (3,-9)\r<BR>\n" );
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document.write( "In this case, you can clearly see what the X-intercepts are.<BR>\n" );
document.write( "(0,0) and (0,6)<BR>\n" );
document.write( "Hope this helps! </SPAN>\n" );
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