document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1073647>Question 1073647</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 	<BR>\n" );
document.write( "Find the vertex of the graph of the quadratic function. Determine whether the graph opens upward or&#8203; downward, find any&#8203; intercepts, and sketch the graph.\r<BR>\n" );
document.write( "\n" );
document.write( "f(x)=-x^2-2x+3\r<BR>\n" );
document.write( "\n" );
document.write( "A. The vertex is:<BR>\n" );
document.write( "B. The parabola opens downward or upward<BR>\n" );
document.write( "C. The x-intercepts are:<BR>\n" );
document.write( "D. The Y-intercepts are:<BR>\n" );
document.write( "E; Graph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #688441 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=688441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the vertex of the graph of the quadratic function. Determine whether the graph opens upward or&#8203; downward, find any&#8203; intercepts, and sketch the graph. <BR>\n" );
document.write( "f(x)=-x^2-2x+3 <BR>\n" );
document.write( "A. The vertex is:<BR>\n" );
document.write( "x = -b/(2a) = 2/(-2) = -1<BR>\n" );
document.write( "y = f(-1) = -1+2+3 = 4<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "B. The parabola opens downward or upward<BR>\n" );
document.write( "Down because a = -1<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "C. The x-intercepts are:<BR>\n" );
document.write( "Solve -x^2-2x+3 = 0<BR>\n" );
document.write( "x^2 + 2x - 3 = 0<BR>\n" );
document.write( "(x+3)(x-1) = 0<BR>\n" );
document.write( "x = -3 or x = 1<BR>\n" );
document.write( "Intercepts:: (-3,0) ; (1,0)<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "D. The Y-intercepts are:<BR>\n" );
document.write( "f(0) = -0^2-2*0+3 = 3<BR>\n" );
document.write( "Intercept:: (0,3)<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "E; Graph <BR>\n" );
document.write( "Plot the points and sketch the parabola.<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "----------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );