document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=431081>Question 431081</A>: <I><SPAN STYLE=\"word-break: break-all;\"> describe the graph of y= -2x^2-6x+5. tell me everything you can about the graph. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #299274 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=299274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "It it is a quadratic in x, so it is a parabola with a vertical axis of symmetry.\r<BR>\n" );
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document.write( "The lead coefficient is negative, so it opens downward.\r<BR>\n" );
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document.write( "The constant term is 5, so the y-intercept is (0,5)\r<BR>\n" );
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document.write( "The opposite of the first degree term is 6, divided by 2 times the lead coefficient, is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -\frac{3}{2}\">.  So the x-coordinate of the vertex is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -\frac{3}{2}\">.  Substitute <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -\frac{3}{2}\"> for x and then do the arithmetic to calculate the y-coordinate of the vertex.\r<BR>\n" );
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document.write( "By symmetry, there is a function value of 5 a distance of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE -\frac{3}{2}\"> horizontally from the vertex, hence (-3,5) is a point on the graph.\r<BR>\n" );
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document.write( "Use the discriminant to determine the nature of the zeros.\r<BR>\n" );
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document.write( "If there are 1 or 2 real zeros, use the quadratic formula to determine the x-coordinates of the x-intercepts.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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