document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199466>Question 199466</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi!\r<BR>\n" );
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document.write( "A quadratic function of f is given.<BR>\n" );
document.write( "f (x) = 3x^2 + 6x - 7 \r<BR>\n" );
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document.write( "Find its vertex and its x- and y-intercept(s)\r<BR>\n" );
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document.write( "thanks for the homework help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149884 by </B><A HREF=/tutors/aboutme.mpl?userid=gracia143><B>gracia143(4)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gracia143><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=149884\">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 + 6x - 7 , where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a=3%2Cb=6%2Cc=-7%29 ALIGN=MIDDLE  ALT=\"system%28a=3%2Cb=6%2Cc=-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the Vertex:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-b%2F2a=-6%2F%282%2A3%29=-6%2F6=red%28-1%29 ALIGN=MIDDLE  ALT=\"x=-b%2F2a=-6%2F%282%2A3%29=-6%2F6=red%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, X-Intercept (-1,0)\r<BR>\n" );
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document.write( "Subst. x=-1 into the eqn for Y-Intercept:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%28-1%29%5E2%2B6%28-1%29-7 ALIGN=MIDDLE  ALT=\"y=3%28-1%29%5E2%2B6%28-1%29-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%281%29-6-7=3-6-7 ALIGN=MIDDLE  ALT=\"y=3%281%29-6-7=3-6-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=red%28-10%29 ALIGN=MIDDLE  ALT=\"y=red%28-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Y-Intercept (0,-10)\r<BR>\n" );
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document.write( "Vertex @ <font color=blue> (-1,-10)</font>\r<BR>\n" );
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document.write( "Solving the Quadratic Eqns to find the X-Intercepts of the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B6x-7=0 ALIGN=MIDDLE  ALT=\"3x%5E2%2B6x-7=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solving for the discriminant: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E2-4ac=6%5E2-4%283%29%28-7%29=36%2B84=red%28120%29 ALIGN=MIDDLE  ALT=\"b%5E2-4ac=6%5E2-4%283%29%28-7%29=36%2B84=red%28120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28-6%2B-sqrt%28120%29%29%2F%282%2A3%29=%28-6%2B-10.95%29%29%2F6 ALIGN=MIDDLE  ALT=\"x=%28-6%2B-sqrt%28120%29%29%2F%282%2A3%29=%28-6%2B-10.95%29%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=%28-6%2B10.95%29%2F6=4.95%2F6=red%280.825%29 ALIGN=MIDDLE  ALT=\"x=%28-6%2B10.95%29%2F6=4.95%2F6=red%280.825%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=%28-6-10.95%29%2F6=-16.95%2F6=red%28-2.825%29 ALIGN=MIDDLE  ALT=\"x=%28-6-10.95%29%2F6=-16.95%2F6=red%28-2.825%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "X-Intercepts: <font color=blue>(0.825,0) & (-2.825,0)</font>\r<BR>\n" );
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document.write( "For Y-Intercept, Let Fx=0:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%280%29%5E2%2B6%280%29-7 ALIGN=MIDDLE  ALT=\"y=3%280%29%5E2%2B6%280%29-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28y=-7%29 ALIGN=MIDDLE  ALT=\"red%28y=-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Y-Intercept <font color=blue> (0,-7)</font>\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-5%2C5%2C-15%2C10%2Cgrid%281%29%2Cgraph%28400%2C400%2C-5%2C5%2C-15%2C10%2C3x%5E2%2B6x-7%29%2Cgreen%28circle%280.825%2C0%2C.12%29%29%2Cgreen%28circle%28-2.825%2C0%2C.12%29%29%2Cgreen%28circle%280%2C-7%2C.12%29%29%2Cblue%28circle%28-1%2C-10%2C.12%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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