document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=12488>Question 12488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to find the vertex and intercepts so that I can graph the parabols I have gotten this far and my mind has gone totally blank.\r<BR>\n" );
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document.write( "the equation reads ----- y = x^2 +2x -3\r<BR>\n" );
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document.write( "-b/2a = -2/3<BR>\n" );
document.write( "when I insert in the equation I get 4/9 + 24/9 - 33/9<BR>\n" );
document.write( "which  gives me -5/9 <BR>\n" );
document.write( "now I am lost </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #6356 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=6356\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You had the right idea for finding the vertex of the parabola but got the wrong answer.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%5E2+%2B+2x+-+3 ALIGN=MIDDLE  ALT=\"y+=+x%5E2+%2B+2x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Here: a = 1, b = 2, and c = -3, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-b%29%2F2a+=+-2%2F2 ALIGN=MIDDLE  ALT=\"%28-b%29%2F2a+=+-2%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -1 So the x-coordinate of the vertex is -1.  To find the y-coordinate, substitute -1 for x in the equation and solve for y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28-1%29%5E2+%2B+2%28-1%29+-+3 ALIGN=MIDDLE  ALT=\"y+=+%28-1%29%5E2+%2B+2%28-1%29+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+1+-+2+-+3 ALIGN=MIDDLE  ALT=\"y+=+1+-+2+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-4 ALIGN=MIDDLE  ALT=\"y+=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > The y-coordinate is -4.\r<BR>\n" );
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document.write( "The vertex is at (-1, -4)\r<BR>\n" );
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document.write( "The x-intercepts are found by setting y = 0 and solving for x (there will be two of them).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+x%5E2+%2B+2x+-+3 ALIGN=MIDDLE  ALT=\"0+=+x%5E2+%2B+2x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Solve by factoring.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+1%29%28x+%2B+3%29+=+0 ALIGN=MIDDLE  ALT=\"%28x+-+1%29%28x+%2B+3%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1+=+0 ALIGN=MIDDLE  ALT=\"x-1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+3+=+0 ALIGN=MIDDLE  ALT=\"x+%2B+3+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1 ALIGN=MIDDLE  ALT=\"x+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-3 ALIGN=MIDDLE  ALT=\"x+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The y-intercept is found by setting x = 0 and solving for y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+0%5E2+%2B+2%280%29+-+3 ALIGN=MIDDLE  ALT=\"y+=+0%5E2+%2B+2%280%29+-+3\"   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 ALIGN=MIDDLE  ALT=\"y+=+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's see what the graph look like:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-6%2C6%2C-6%2C6%2Cx%5E2%2B2x-3%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-6%2C6%2C-6%2C6%2Cx%5E2%2B2x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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