document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=437257>Question 437257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Make a graph of y=-x^2-2x+3 and find the vertex, y-intercept, extra points. <BR>\n" );
document.write( "I don't understand how I can find the vertex, y-intercept and extra points.<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 #302441 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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/cgi-bin/show-face.mpl?user=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=302441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+-x%5E2-2x%2B3%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+-x%5E2-2x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This graph represent a parabola: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-x%5E2-2x%2B3=-%28x%5E2%2B2x%2B1%29%2B1%2B3=-%28x%2B1%29%5E2%2B4 ALIGN=MIDDLE  ALT=\"y=-x%5E2-2x%2B3=-%28x%5E2%2B2x%2B1%29%2B1%2B3=-%28x%2B1%29%5E2%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "From the final expression we see that the vertex is: (-1, 4)\r<BR>\n" );
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document.write( "To find the y-intercept we make x=0: y=-0^2-2*0+3=3; (0, 3)\r<BR>\n" );
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document.write( "Other extra points are the x-intercepts: -x^2-2x+3=(x+3)(x-1)=0: x=-3 and x=1;\r<BR>\n" );
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document.write( "x-intercepts are:(-3, 0) and (1, 0).\r<BR>\n" );
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document.write( "Done. </SPAN>\n" );
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