document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203134>Question 203134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Without drawing the graph determine how many x- intercepts the parabola has and whether its vertex lies above or below or on the x axis Show your work<BR>\n" );
document.write( "y = x^2 - 5x + 6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153258 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=153258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Tahoma\" size=1.5><BR>\n" );
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document.write( "Given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y+=+x%5E2+-+5x+%2B+6%29 ALIGN=MIDDLE  ALT=\"system%28y+=+x%5E2+-+5x+%2B+6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=1%2Cb=-5%2Cc=6%29 ALIGN=MIDDLE  ALT=\"system%28a=1%2Cb=-5%2Cc=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >}\r<BR>\n" );
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document.write( "Finding for X-intercepts via Quadratic:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-5x%2B6=0 ALIGN=MIDDLE  ALT=\"x%5E2-5x%2B6=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, a perfect square<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%28x-2%29=0 ALIGN=MIDDLE  ALT=\"%28x-3%29%28x-2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28x=3%29 ALIGN=MIDDLE  ALT=\"red%28x=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > & <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28x=2%29 ALIGN=MIDDLE  ALT=\"red%28x=2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "X-intercepts --> (3,0) & (2,0) Answer\r<BR>\n" );
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document.write( "For the vertex:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-b%2F2a=-%28-5%29%2F%282%2A1%29=red%285%2F2%29 ALIGN=MIDDLE  ALT=\"x=-b%2F2a=-%28-5%29%2F%282%2A1%29=red%285%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> substitute to the eqn,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F2%29%5E2-5%285%2F2%29%2B6=25%2F4-25%2F2%2B6 ALIGN=MIDDLE  ALT=\"y=%285%2F2%29%5E2-5%285%2F2%29%2B6=25%2F4-25%2F2%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2825-50%2B24%29%2F4=red%28-1%2F4%29 ALIGN=MIDDLE  ALT=\"y=%2825-50%2B24%29%2F4=red%28-1%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The vertex: (5/2,-1/4) or (2.5,-.25) ---> Lies below the X - axis being the Y-Intercept is negative (-).\r<BR>\n" );
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document.write( "To clearly demonstrate this, we see the graph\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-4%2C8%2C-4%2C8%2Cgrid%281%29%2Cgraph%28400%2C400%2C-4%2C8%2C-4%2C8%2Cx%5E2-5x%2B6%29%2Cblue%28circle%282.5%2C-.25%2C.08%29%29%2Cgreen%28circle%282%2C0%2C.08%29%29%2Cgreen%28circle%283%2C0%2C.08%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you,<BR>\n" );
document.write( "Jojo</font><BR>\n" );
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