document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=924017>Question 924017</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question 4    Given  y = x^2-x-6\r<BR>\n" );
document.write( "\n" );
document.write( "a) Determine the x-intercepts.		                                                                		 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b) Determine the turning point.			                                                         	 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "d) Determine the y-intercept.				                                           		\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "e) Hence, or otherwise, sketch the graph of y = x^2-x-6	                                                <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #560571 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=560571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = x^2 -x -6 <BR>\n" );
document.write( "factor this equation<BR>\n" );
document.write( "y = (x-3)(x+2)<BR>\n" );
document.write( "a) x intercepts are 3 and -2<BR>\n" );
document.write( "b) turning point is the vertex of this parabola, x part of vertex is<BR>\n" );
document.write( "x = -b/2a = 1/2 = 0.5<BR>\n" );
document.write( "y = 1/4 - 1/2 -6 = -6.25<BR>\n" );
document.write( "turning point is (0.5, -6.25<BR>\n" );
document.write( "d) y intercept is -6<BR>\n" );
document.write( "graph of this parabola is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2+-x+-6+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+x%5E2+-x+-6+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );