document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188384>Question 188384</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would you graph this polynomial 3x² + 4x – 5?  Or how do you graph any polynomial.  Please Help!!!!!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141228 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=141228\">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: f(x)=3x^2 + 4x -5, where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=3%2Cb=4%2Cc=%28-5%29%29 ALIGN=MIDDLE  ALT=\"system%28a=3%2Cb=4%2Cc=%28-5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find the vertex: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-b%2F2a=-4%2F%282%2A3%29=-4%2F6=-2%2F3 ALIGN=MIDDLE  ALT=\"x=-b%2F2a=-4%2F%282%2A3%29=-4%2F6=-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The x-coordinate of the vertex is -2/3.\r<BR>\n" );
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document.write( "To find Y-Intercept, we will calculate f(-2/3).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%28-2%2F3%29%5E2%2B4%28-2%2F3%29-5=cross%283%291%2A%284%2Fcross%289%293%29-8%2F3-5=4%2F3-8%2F3-5=-4%2F3-5=%28-4-15%29%2F3=red%28-19%2F3%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the vertex is <font color=red>(-2/3,-19/3)</font>\r<BR>\n" );
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document.write( "To find x -intercepts,we solve eqn 3x² + 4x – 5:<BR>\n" );
document.write( "Discriminant: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=4%5E2-4%2A3%2A-5=16%2B60=76 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=4%5E2-4%2A3%2A-5=16%2B60=76\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-4%2B-sqrt%2876%29%29%2F%282%2A3%29=%28-4%2B-8.72%29%2F6 ALIGN=MIDDLE  ALT=\"x=%28-4%2B-sqrt%2876%29%29%2F%282%2A3%29=%28-4%2B-8.72%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-4%2B8.72%29%2F6=4.72%2F6=red%280.80%29 ALIGN=MIDDLE  ALT=\"x=%28-4%2B8.72%29%2F6=4.72%2F6=red%280.80%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-4-8.72%29%2F6=-12.72%2F6=red%28-2.12%29 ALIGN=MIDDLE  ALT=\"x=%28-4-8.72%29%2F6=-12.72%2F6=red%28-2.12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For y-intercept, let f(x)=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%280%29%5E2%2B4%280%29-5=red%28-5%29 ALIGN=MIDDLE  ALT=\"y=3%280%29%5E2%2B4%280%29-5=red%28-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Y-intercept\r<BR>\n" );
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document.write( "We see the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-5%2C5%2C-10%2C10%2Cgrid%281%29%2Cgraph%28400%2C400%2C-5%2C5%2C-10%2C10%29%2Cgreen%28circle%280.80%2C0%2C.10%29%29%2Cgreen%28circle%28-2.12%2C0%2C.10%29%29%2Cblue%28circle%28-2%2F3%2C-19%2F3%2C.10%29%29%2Cgreen%28circle%280%2C-5%2C.10%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C400%2C-5%2C5%2C-10%2C10%2Cgrid%281%29%2Cgraph%28400%2C400%2C-5%2C5%2C-10%2C10%2C3x%5E2%2B4x-5%29%2Cgreen%28circle%280.80%2C0%2C.10%29%29%2Cgreen%28circle%28-2.12%2C0%2C.10%29%29%2Cblue%28circle%28-2%2F3%2C-19%2F3%2C.10%29%29%2Cgreen%28circle%280%2C-5%2C.10%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> </SPAN>\n" );
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