document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=194613>Question 194613</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!\r<BR>\n" );
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document.write( "Graph the following parabola. Calculate and identify vertex and intercepts in graph.   Problem - y=x^2+4x+3\r<BR>\n" );
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document.write( "                      y= (x+1) (x+3) = Is this correct so far?  I'm not sure howto graph this parabola.  Can you help me?  Thank you!!!\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146011 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=146011\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> first you have to rewrite this so that the variable y is positive and set this up to complete the square<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1%28x%5E2%2B4x%29-3%29 ALIGN=MIDDLE  ALT=\"y=-1%28x%5E2%2B4x%29-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1%28x%5E2%2B4x%2B4%29%2B4-3 ALIGN=MIDDLE  ALT=\"y=-1%28x%5E2%2B4x%2B4%29%2B4-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1%28x%2B2%29%5E2%2B1 ALIGN=MIDDLE  ALT=\"y=-1%28x%2B2%29%5E2%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "vertex is at (-2,1)<BR>\n" );
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document.write( "intercepts are found by setting y to zero<BR>\n" );
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document.write( "we know it opens down because it is in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E2 ALIGN=MIDDLE  ALT=\"y=x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and coefficient is a negative 1<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2%2B4x%2B3 ALIGN=MIDDLE  ALT=\"0=x%5E2%2B4x%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >---><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28x%2B3%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x%2B3%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so x intercepts are -1,-3: (-1,0)(-3,0)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-x%5E2-4x-3%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-x%5E2-4x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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