document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203715>Question 203715</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780618643103/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Identify the vertex and intercepts of the graph f y=x^2+4x+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153719 by </B><A HREF=/tutors/aboutme.mpl?userid=tina_wood><B>tina_wood(5)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tina_wood><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=153719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)= x^2+4x+3\r<BR>\n" );
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document.write( "to find the vertex, use  (-b/2a)\r<BR>\n" );
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document.write( "-4/2(1) = -4/2 = -2 This is the x part of the vertex (-2,?), then we use -2 in place of x in f(x)\r<BR>\n" );
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document.write( "f(-2) = (-2)^2+4(-2)+3<BR>\n" );
document.write( "      = 4-8+3<BR>\n" );
document.write( "      = -1\r<BR>\n" );
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document.write( "Therefore the vertex is (-2,-1)\r<BR>\n" );
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document.write( "To find the x - intercepts, you set the equation to equal 0\r<BR>\n" );
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document.write( "x^2+4x+3=0 (does it factor?)\r<BR>\n" );
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document.write( "(x+3)=0, (x+1)=0<BR>\n" );
document.write( " x= -3,   x=-1\r<BR>\n" );
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document.write( "To find the y-intercepts, let x=0\r<BR>\n" );
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document.write( "x^2+4x+3<BR>\n" );
document.write( "(0)^2+4(0)+3\r<BR>\n" );
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document.write( "y=3 <BR>\n" );
document.write( " </SPAN>\n" );
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