document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271980>Question 271980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the graph of y = x2 – 6x  to answer the following:  I am not able to put the graph\r<BR>\n" );
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document.write( "a)	Without solving the equation (or factoring), determine the solutions to the equation  x2 – 6x = 0  using only the graph.<BR>\n" );
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document.write( "Answer: X=0,60 and Y=30,-90   \r<BR>\n" );
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document.write( "Explain how you obtain your answer(s) by looking at the graph: <BR>\n" );
document.write( "I picked the points on the graph\r<BR>\n" );
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document.write( "b)	Does this function have a maximum or a minimum?\r<BR>\n" );
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document.write( "Answer: <BR>\n" );
document.write( "Explain how you obtain your answer by looking at the graph: \r<BR>\n" );
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document.write( "c)	What is the equation of the line (axis) of symmetry for this graph?\r<BR>\n" );
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document.write( "Answer:<BR>\n" );
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document.write( "d)	What are the coordinates of the vertex in (x, y) form?\r<BR>\n" );
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document.write( "Answer: <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 #199045 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=199045\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve by graphing:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-6x+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-6x+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The graph is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E2-6x%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E2-6x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a) The zeros are:<BR>\n" );
document.write( "(0,0) and (6,0)<BR>\n" );
document.write( "b) The function has a minimum.<BR>\n" );
document.write( "c) The axis of symmetry (the vertical line passing through the vertex) is x = 3<BR>\n" );
document.write( "d) The vertex is at (3, -9)<BR>\n" );
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