document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62769>Question 62769</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you help?<BR>\n" );
document.write( "find the vertex and intercepts of the quadratic function f(x)=x^2+x-6.  thank you very much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43616 by </B><A HREF=/tutors/aboutme.mpl?userid=jai_kos><B>jai_kos(139)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jai_kos><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=43616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=x^2 + x- 6\r<BR>\n" );
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document.write( "vertex and intercepts of the quadratic function \r<BR>\n" );
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document.write( "Given f(x) = x^2 + x- 6 --->(1)\r<BR>\n" );
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document.write( "It is a quadratic equation, where a = 1, b =1 and c = -6\r<BR>\n" );
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document.write( "vertex = - b /2a = -1 /2*1 = - 1/2\r<BR>\n" );
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document.write( "x = -1/2\r<BR>\n" );
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document.write( "Now substitute for x = -1/2,\r<BR>\n" );
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document.write( "Put this value in equation(1), we get\r<BR>\n" );
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document.write( "f(-1/2) = (1-/2)^2 + (1/2) - 6\r<BR>\n" );
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document.write( "        = 1/4 + 1/2 - 6\r<BR>\n" );
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document.write( "        = 3 /4 - 6 \r<BR>\n" );
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document.write( "        = -21 /4\r<BR>\n" );
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document.write( "Therefore the vertex is given by,\r<BR>\n" );
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document.write( "(x, f(x) = ( -1/2,  -21/4)\r<BR>\n" );
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document.write( "To find the intercepts, we put x =0 in  equation(1) we get\r<BR>\n" );
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document.write( "y = f(0) =  -6\r<BR>\n" );
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document.write( "THis is the y-intercepts\r<BR>\n" );
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document.write( "Now put f(x) = 0 in the equation(1), we get<BR>\n" );
document.write( "x^2 +x - 6 = 0\r<BR>\n" );
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document.write( "x^2 +3x -2x -6 = 0\r<BR>\n" );
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document.write( "x(x+3) -2(x+3) = 0\r<BR>\n" );
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document.write( "(X-2)(x+3)= 0\r<BR>\n" );
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document.write( "Therefore x = 2 or -3\r<BR>\n" );
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document.write( "The x intercepts are x =2 and x =-3  \r<BR>\n" );
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document.write( " </SPAN>\n" );
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